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A factor is a number that can be evenly divided into other whole numbers without having a remainder left over. For example, 9 is a common factor of 1, 3 and 9. Fractions and decimals are not found in common factors making finding common factors rather easy.

1.

For the whole numbers given below, find the common highest factor.

8 and 16

8 and 16

4

8

6

2

2.

For the whole numbers given below, find the common highest factor.

19 and 42

19 and 42

1

4

6

8

19 ÷ 1 = 19; 19 ÷ 2 = 9.5; 19 ÷ 3 = 6.33; 19 ÷ 4 = 4.75; 19 ÷ 5 = 3.8; 19 ÷ 6 = 3.16; 19 ÷ 7 = 2.71; 19 ÷ 8 = 2.37; 19 ÷ 9 = 2.11; 19 ÷ 10 = 1.9; 19 ÷ 11 = 1.72; 19 ÷ 12 = 1.58; 19 ÷ 13 = 1.46; 19 ÷ 14 = 1.35; 19 ÷ 15 = 1.26; 19 ÷ 16 = 1.18; 19 ÷ 17 = 1.11; 19 ÷ 18 = 1.05; 19 ÷ 19 = 1

42 ÷ 1 = 42; 42 ÷ 2 = 21; 42 ÷ 3 = 14; 42 ÷ 4 = 10.5; 42 ÷ 5 = 8.4; 42 ÷ 6 = 7; 42 ÷ 7 = 6; 42 ÷ 8 = 5.25; 42 ÷ 9 = 4.66; 42 ÷ 10 = 4.2; 42 ÷ 11 = 3.81; 42 ÷ 12 = 3.5; 42 ÷ 13 = 3.23; 42 ÷ 14 = 3; 42 ÷ 15 = 2.8; 42 ÷ 16 = 2.62; 42 ÷ 17 = 2.47; 42 ÷ 18 = 2.33; 42 ÷ 19 = 2.21; 42 ÷ 20 = 2.1; 42 ÷ 21 = 2; 42 ÷ 22 = 1.90; 42 ÷ 23 = 1.82; 42 ÷ 24 = 1.75; 42 ÷ 25 = 1.68; 42 ÷ 26 = 1.61; 42 ÷ 27 = 1.55; 42 ÷ 28 = 1.5; 42 ÷ 29 = 1.44; 42 ÷ 30 = 1.4; 42 ÷ 31 = 1.35; 42 ÷ 32 = 1.31; 42 ÷ 33 = 1.27; 42 ÷ 34 = 1.23; 42 ÷ 35 = 1.2; 42 ÷ 36 = 1.16; 42 ÷ 37 = 1.13; 42 ÷ 38 = 1.1; 42 ÷ 39 = 1.07; 42 ÷ 40 = 1.05; 42 ÷ 41 = 1.02; 42 ÷ 42 = 1

The factors of 19 are**1** and **19**. The factors of 42 are **1, 2, 3, 6, 7, 14, 21** and **42**. The factors that can be found in both 19 and 42 include only the number 1. **1** is, therefore, the highest common factor so Answer (a) is the correct answer

42 ÷ 1 = 42; 42 ÷ 2 = 21; 42 ÷ 3 = 14; 42 ÷ 4 = 10.5; 42 ÷ 5 = 8.4; 42 ÷ 6 = 7; 42 ÷ 7 = 6; 42 ÷ 8 = 5.25; 42 ÷ 9 = 4.66; 42 ÷ 10 = 4.2; 42 ÷ 11 = 3.81; 42 ÷ 12 = 3.5; 42 ÷ 13 = 3.23; 42 ÷ 14 = 3; 42 ÷ 15 = 2.8; 42 ÷ 16 = 2.62; 42 ÷ 17 = 2.47; 42 ÷ 18 = 2.33; 42 ÷ 19 = 2.21; 42 ÷ 20 = 2.1; 42 ÷ 21 = 2; 42 ÷ 22 = 1.90; 42 ÷ 23 = 1.82; 42 ÷ 24 = 1.75; 42 ÷ 25 = 1.68; 42 ÷ 26 = 1.61; 42 ÷ 27 = 1.55; 42 ÷ 28 = 1.5; 42 ÷ 29 = 1.44; 42 ÷ 30 = 1.4; 42 ÷ 31 = 1.35; 42 ÷ 32 = 1.31; 42 ÷ 33 = 1.27; 42 ÷ 34 = 1.23; 42 ÷ 35 = 1.2; 42 ÷ 36 = 1.16; 42 ÷ 37 = 1.13; 42 ÷ 38 = 1.1; 42 ÷ 39 = 1.07; 42 ÷ 40 = 1.05; 42 ÷ 41 = 1.02; 42 ÷ 42 = 1

The factors of 19 are

3.

For the whole numbers given below, find the common highest factor.

13 and 26

13 and 26

1

3

6

13

13 ÷ 1 = 13; 13 ÷ 2 = 6.5; 13 ÷ 3 = 4.33; 13 ÷ 4 = 3.25; 13 ÷ 5 = 2.6; 13 ÷ 6 = 2.16; 13 ÷ 7 = 1.85; 13 ÷ 8 = 1.62; 13 ÷ 9 = 1.44; 13 ÷ 10 = 1.3; 13 ÷ 11 = 1.18; 13 ÷ 12 = 1.08; 13 ÷ 13 = 1

26 ÷ 1 = 26; 26 ÷ 2 = 13; 26 ÷ 3 = 8.66; 26 ÷ 4 = 6.5; 26 ÷ 5 = 5.2; 26 ÷ 6 = 4.33; 26 ÷ 7 = 3.71; 26 ÷ 8 = 3.25; 26 ÷ 9 = 2.88; 26 ÷ 10 = 2.6; 26 ÷ 11 = 2.36; 26 ÷ 12 = 2.16; 26 ÷ 13 = 2; 26 ÷ 14 = 1.85; 26 ÷ 15 = 1.73; 26 ÷ 16 = 1.62; 26 ÷ 17 = 1.52; 26 ÷ 18 = 1.44; 26 ÷ 19 = 1.36; 26 ÷ 20 = 1.3; 26 ÷ 21 = 1.23; 26 ÷ 22 = 1.18; 26 ÷ 23 = 1.13; 26 ÷ 24 = 1.08; 26 ÷ 25 = 1.04; 26 ÷ 26 = 1

The factors of 13 are**1** and **13**. The factors of 26 are **1, 2, 13** and **26**. The factors that can be found in both 13 and 26 include the numbers 1 and 13. **13** is, therefore, the highest common factor so Answer (d) is the correct answer

26 ÷ 1 = 26; 26 ÷ 2 = 13; 26 ÷ 3 = 8.66; 26 ÷ 4 = 6.5; 26 ÷ 5 = 5.2; 26 ÷ 6 = 4.33; 26 ÷ 7 = 3.71; 26 ÷ 8 = 3.25; 26 ÷ 9 = 2.88; 26 ÷ 10 = 2.6; 26 ÷ 11 = 2.36; 26 ÷ 12 = 2.16; 26 ÷ 13 = 2; 26 ÷ 14 = 1.85; 26 ÷ 15 = 1.73; 26 ÷ 16 = 1.62; 26 ÷ 17 = 1.52; 26 ÷ 18 = 1.44; 26 ÷ 19 = 1.36; 26 ÷ 20 = 1.3; 26 ÷ 21 = 1.23; 26 ÷ 22 = 1.18; 26 ÷ 23 = 1.13; 26 ÷ 24 = 1.08; 26 ÷ 25 = 1.04; 26 ÷ 26 = 1

The factors of 13 are

4.

For the whole numbers given below, find the common highest factor.

9 and 18

9 and 18

9

3

1

4

9 ÷ 1 = 9; 9 ÷ 2 = 4.5; 9 ÷ 3 = 3; 9 ÷ 4 = 2.25; 9 ÷ 5 = 1.8; 9 ÷ 6 = 1.5; 9 ÷ 7 = 1.28; 9 ÷ 8 = 1.12; 9 ÷ 9 = 1

18 ÷ 1 = 18; 18 ÷ 2 = 9; 18 ÷ 3 = 6; 18 ÷ 4 = 4.5; 18 ÷ 5 = 3.6; 18 ÷ 6 = 3; 18 ÷ 7 = 2.57; 18 ÷ 8 = 2.25; 18 ÷ 9 = 2; 18 ÷ 10 = 1.8; 18 ÷ 11 = 1.63; 18 ÷ 12 = 1.5; 18 ÷ 13 = 1.38; 18 ÷ 14 = 1.28; 18 ÷ 15 = 1.2; 18 ÷ 16 = 1.12; 18 ÷ 17 = 1.05; 18 ÷ 18 = 1

The factors of 9 are**1, 3** and **9**. The factors of 18 are **1, 2, 3, 6, 9** and **18**. The factors that can be found in both 9 and 18 include the numbers 1, 3 and 9. **9** is, therefore, the highest common factor so Answer (a) is the correct answer

18 ÷ 1 = 18; 18 ÷ 2 = 9; 18 ÷ 3 = 6; 18 ÷ 4 = 4.5; 18 ÷ 5 = 3.6; 18 ÷ 6 = 3; 18 ÷ 7 = 2.57; 18 ÷ 8 = 2.25; 18 ÷ 9 = 2; 18 ÷ 10 = 1.8; 18 ÷ 11 = 1.63; 18 ÷ 12 = 1.5; 18 ÷ 13 = 1.38; 18 ÷ 14 = 1.28; 18 ÷ 15 = 1.2; 18 ÷ 16 = 1.12; 18 ÷ 17 = 1.05; 18 ÷ 18 = 1

The factors of 9 are

5.

For the whole numbers given below, find the common highest factor.

11 and 23

11 and 23

3

5

7

1

11 ÷ 1 = 11; 11 ÷ 2 = 5.5; 11 ÷ 3 = 3.66; 11 ÷ 4 = 2.75; 11 ÷ 5 = 2.2; 11 ÷ 6 = 1.83; 11 ÷ 7 = 1.57; 11 ÷ 8 = 1.37; 11 ÷ 9 = 1.22; 11 ÷ 10 = 1.1; 11 ÷ 11 = 1

23 ÷ 1 = 23; 23 ÷ 2 = 11.5; 23 ÷ 3 = 7.66; 23 ÷ 4 = 5.75; 23 ÷ 5 = 4.6; 23 ÷ 6 = 3.83; 23 ÷ 7 = 3.28; 23 ÷ 8 = 2.87; 23 ÷ 9 = 2.55; 23 ÷ 10 = 2.3; 23 ÷ 11 = 2.09; 23 ÷ 12 = 1.91; 23 ÷ 13 = 1.76; 23 ÷ 14 = 1.64; 23 ÷ 15 = 1.53; 23 ÷ 16 = 1.43; 23 ÷ 17 = 1.35; 23 ÷ 18 = 1.27; 23 ÷ 19 = 1.21; 23 ÷ 20 = 1.15; 23 ÷ 21 = 1.09; 23 ÷ 22 = 1.04; 23 ÷ 23 = 1

The factors of 11 are**1** and **11**. The factors of 23 are **1** and **23**. The factors that can be found in both 11 and 23 include only the number 1. **1** is, therefore, the highest common factor so Answer (d) is the correct answer

23 ÷ 1 = 23; 23 ÷ 2 = 11.5; 23 ÷ 3 = 7.66; 23 ÷ 4 = 5.75; 23 ÷ 5 = 4.6; 23 ÷ 6 = 3.83; 23 ÷ 7 = 3.28; 23 ÷ 8 = 2.87; 23 ÷ 9 = 2.55; 23 ÷ 10 = 2.3; 23 ÷ 11 = 2.09; 23 ÷ 12 = 1.91; 23 ÷ 13 = 1.76; 23 ÷ 14 = 1.64; 23 ÷ 15 = 1.53; 23 ÷ 16 = 1.43; 23 ÷ 17 = 1.35; 23 ÷ 18 = 1.27; 23 ÷ 19 = 1.21; 23 ÷ 20 = 1.15; 23 ÷ 21 = 1.09; 23 ÷ 22 = 1.04; 23 ÷ 23 = 1

The factors of 11 are

6.

For the whole numbers given below, find the common highest factor.

15 and 20

15 and 20

1

4

5

6

15 ÷ 1 = 15; 15 ÷ 2 = 7.5; 15 ÷ 3 = 5; 15 ÷ 4 = 3.75; 15 ÷ 5 = 3; 15 ÷ 6 = 2.5; 15 ÷ 7 = 2.14; 15 ÷ 8 = 1.87; 15 ÷ 9 = 1.66; 15 ÷ 10 = 1.5; 15 ÷ 11 = 1.36; 15 ÷ 12 = 1.25; 15 ÷ 13 = 1.15; 15 ÷ 14 = 1.07; 15 ÷ 15 = 1

20 ÷ 1 = 20; 20 ÷ 2 = 10; 20 ÷ 3 = 6.66; 20 ÷ 4 = 5; 20 ÷ 5 = 4; 20 ÷ 6 = 3.33; 20 ÷ 7 = 2.85; 20 ÷ 8 = 2.5; 20 ÷ 9 = 2.22; 20 ÷ 10 = 2; 20 ÷ 11 = 1.81; 20 ÷ 12 = 1.66; 20 ÷ 13 = 1.53; 20 ÷ 14 = 1.42; 20 ÷ 15 = 1.33; 20 ÷ 16 = 1.25; 20 ÷ 17 = 1.17; 20 ÷ 18 = 1.11; 20 ÷ 19 = 1.05; 20 ÷ 20 = 1

The factors of 15 are**1, 3, 5** and **15**. The factors of 20 are **1, 2, 4, 5, 10** and **20**. The factors that can be found in both 15 and 20 include the numbers 1 and 5. **5** is, therefore, the highest common factor so Answer (b) is the correct answer

20 ÷ 1 = 20; 20 ÷ 2 = 10; 20 ÷ 3 = 6.66; 20 ÷ 4 = 5; 20 ÷ 5 = 4; 20 ÷ 6 = 3.33; 20 ÷ 7 = 2.85; 20 ÷ 8 = 2.5; 20 ÷ 9 = 2.22; 20 ÷ 10 = 2; 20 ÷ 11 = 1.81; 20 ÷ 12 = 1.66; 20 ÷ 13 = 1.53; 20 ÷ 14 = 1.42; 20 ÷ 15 = 1.33; 20 ÷ 16 = 1.25; 20 ÷ 17 = 1.17; 20 ÷ 18 = 1.11; 20 ÷ 19 = 1.05; 20 ÷ 20 = 1

The factors of 15 are

7.

For the whole numbers given below, find the common highest factor.

24 and 32

24 and 32

8

12

16

24

24 ÷ 1 = 24; 24 ÷ 2 = 12; 24 ÷ 3 = 8; 24 ÷ 4 = 6; 24 ÷ 5 = 4.8; 24 ÷ 6 = 4; 24 ÷ 7 = 3.42; 24 ÷ 8 = 3; 24 ÷ 9 = 2.66; 24 ÷ 10 = 2.4; 24 ÷ 11 = 2.18; 24 ÷ 12 = 2; 24 ÷ 13 = 1.84; 24 ÷ 14 = 1.71; 24 ÷ 15 = 1.6; 24 ÷ 16 = 1.5; 24 ÷ 17 = 1.41; 24 ÷ 18 = 1.33; 24 ÷ 19 = 1.26; 24 ÷ 20 = 1.2; 24 ÷ 21 = 1.14; 24 ÷ 22 = 1.09; 24 ÷ 23 = 1.04; 24 ÷ 24 = 1

32 ÷ 1 = 32; 32 ÷ 2 = 16; 32 ÷ 3 = 10.66; 32 ÷ 4 = 8 ; 32 ÷ 5 = 6.4; 32 ÷ 6 = 5.33; 32 ÷ 7 = 4.57; 32 ÷ 8 = 4; 32 ÷ 9 = 3.55; 32 ÷ 10 = 3.2; 32 ÷ 11 = 2.90; 32 ÷ 12 = 2.66; 32 ÷ 13 = 2.46; 32 ÷ 14 = 2.28; 32 ÷ 15 = 2.13; 32 ÷ 16 = 2; 32 ÷ 17 = 1.88; 32 ÷ 18 = 1.77; 32 ÷ 19 = 1.68; 32 ÷ 20 = 1.6; 32 ÷ 21 = 1.52; 32 ÷ 22 = 1.45; 32 ÷ 23 = 1.39; 32 ÷ 24 = 1.33; 32 ÷ 25 = 1.28; 32 ÷ 26 = 1.23; 32 ÷ 27 = 1.18; 32 ÷ 28 = 1.14; 32 ÷ 29 = 1.1; 32 ÷ 30 = 1.06; 32 ÷ 31 = 1.03; 32 ÷ 32 = 1

The factors of 24 are**1, 2, 3, 4, 6, 8, 12** and **24**. The factors of 32 are **1, 2, 4, 8, 16** and **32**. The factors that can be found in both 24 and 32 include the numbers 1, 2, 4 and 8. **8** is, therefore, the highest common factor so Answer (a) is the correct answer

32 ÷ 1 = 32; 32 ÷ 2 = 16; 32 ÷ 3 = 10.66; 32 ÷ 4 = 8 ; 32 ÷ 5 = 6.4; 32 ÷ 6 = 5.33; 32 ÷ 7 = 4.57; 32 ÷ 8 = 4; 32 ÷ 9 = 3.55; 32 ÷ 10 = 3.2; 32 ÷ 11 = 2.90; 32 ÷ 12 = 2.66; 32 ÷ 13 = 2.46; 32 ÷ 14 = 2.28; 32 ÷ 15 = 2.13; 32 ÷ 16 = 2; 32 ÷ 17 = 1.88; 32 ÷ 18 = 1.77; 32 ÷ 19 = 1.68; 32 ÷ 20 = 1.6; 32 ÷ 21 = 1.52; 32 ÷ 22 = 1.45; 32 ÷ 23 = 1.39; 32 ÷ 24 = 1.33; 32 ÷ 25 = 1.28; 32 ÷ 26 = 1.23; 32 ÷ 27 = 1.18; 32 ÷ 28 = 1.14; 32 ÷ 29 = 1.1; 32 ÷ 30 = 1.06; 32 ÷ 31 = 1.03; 32 ÷ 32 = 1

The factors of 24 are

8.

For the whole numbers given below, find the common highest factor.

14 and 21

14 and 21

1

3

7

14

14 ÷ 1 = 14; 14 ÷ 2 = 7; 14 ÷ 3 = 4.66; 14 ÷ 4 = 3.5; 14 ÷ 5 = 2.8; 14 ÷ 6 = 2.33; 14 ÷ 7 = 2; 14 ÷ 8 = 1.74; 14 ÷ 9 = 1.55; 14 ÷ 10 = 1.4; 14 ÷ 11 = 1.27; 14 ÷ 12 = 1.16; 14 ÷ 13 = 1.07; 14 ÷ 14 = 1

21 ÷ 1 = 21; 21 ÷ 2 = 10.5; 21 ÷ 3 = 7; 21 ÷ 4 = 5.25; 21 ÷ 5 = 4.2; 21 ÷ 6 = 3.5; 21 ÷ 7 = 3; 21 ÷ 8 = 2.62; 21 ÷ 9 = 2.33; 21 ÷ 10 = 2.1; 21 ÷ 11 = 1.90; 21 ÷ 12 = 1.75; 21 ÷ 13 = 1.61; 21 ÷ 14 = 1.5; 21 ÷ 15 = 1.4; 21 ÷ 16 = 1.31; 21 ÷ 17 = 1.23; 21 ÷ 18 = 1.16; 21 ÷ 19 = 1.10; 21 ÷ 20 = 1.05; 21 ÷ 21 = 1

The factors of 14 are**1, 2, 7** and **14**. The factors of 21 are **1, 3, 7** and **31**. The factors that can be found in both 14 and 21 include the numbers 1 and 7. **7** is, therefore, the highest common factor so Answer (c) is the correct answer

21 ÷ 1 = 21; 21 ÷ 2 = 10.5; 21 ÷ 3 = 7; 21 ÷ 4 = 5.25; 21 ÷ 5 = 4.2; 21 ÷ 6 = 3.5; 21 ÷ 7 = 3; 21 ÷ 8 = 2.62; 21 ÷ 9 = 2.33; 21 ÷ 10 = 2.1; 21 ÷ 11 = 1.90; 21 ÷ 12 = 1.75; 21 ÷ 13 = 1.61; 21 ÷ 14 = 1.5; 21 ÷ 15 = 1.4; 21 ÷ 16 = 1.31; 21 ÷ 17 = 1.23; 21 ÷ 18 = 1.16; 21 ÷ 19 = 1.10; 21 ÷ 20 = 1.05; 21 ÷ 21 = 1

The factors of 14 are

9.

For the whole numbers given below, find the common highest factor.

6 and 10

6 and 10

6

5

2

1

6 ÷ 1 = 6; 6 ÷ 2 = 3; 6 ÷ 3 = 2; 6 ÷ 4 = 1.5; 6 ÷ 5 = 1.2; 6 ÷ 6 = 1

10 ÷ 1 = 10; 10 ÷ 2 = 5; 10 ÷ 3 = 3.33; 10 ÷ 4 = 2.5; 10 ÷ 5 = 2; 10 ÷ 6 = 1.66; 10 ÷ 7 = 1.42; 10 ÷ 8 = 1.25; 10 ÷ 9 = 1.1; 10 ÷ 10 = 1

The factors of 6 are**1, 2, 3** and **6**. The factors of 10 are **1, 2, 5** and **10**. The factors that can be found in both 6 and 10 include the numbers 1 and 2. **2** is, therefore, the highest common factor so Answer (c) is the correct answer

10 ÷ 1 = 10; 10 ÷ 2 = 5; 10 ÷ 3 = 3.33; 10 ÷ 4 = 2.5; 10 ÷ 5 = 2; 10 ÷ 6 = 1.66; 10 ÷ 7 = 1.42; 10 ÷ 8 = 1.25; 10 ÷ 9 = 1.1; 10 ÷ 10 = 1

The factors of 6 are

10.

For the whole numbers given below, find the common highest factor.

16 and 36

16 and 36

3

4

6

8

16 ÷ 1 = 16; 16 ÷ 2 = 8; 16 ÷ 3 = 5.33; 16 ÷ 4 = 4; 16 ÷ 5 = 3.2; 16 ÷ 6 = 2.66; 16 ÷ 7 = 2.57; 16 ÷ 8 = 2; 16 ÷ 9 = 1.77; 16 ÷ 10 = 1.6; 16 ÷ 11 = 1.45; 16 ÷ 12 = 1.33; 16 ÷ 13 = 1.23; 16 ÷ 14 = 1.14; 16 ÷ 15 = 1.06; 16 ÷ 16 = 1

36 ÷ 1 = 36; 36 ÷ 2 = 18; 36 ÷ 3 = 12; 36 ÷ 4 = 9; 36 ÷ 5 = 7.2; 36 ÷ 6 = 6; 36 ÷ 7 = 5.14; 36 ÷ 8 = 4.5; 36 ÷ 9 = 4; 36 ÷ 10 = 3.6; 36 ÷ 11 = 3.27; 36 ÷ 12 = 3; 36 ÷ 13 = 2.76; 36 ÷ 14 = 2.57; 36 ÷ 15 = 2.4; 36 ÷ 16 = 2.25; 36 ÷ 17 = 2.11; 36 ÷ 18 = 2; 36 ÷ 19 = 1.89; 36 ÷ 20 = 1.8; 36 ÷ 21 = 1.71; 36 ÷ 22 = 1.63; 36 ÷ 23 = 1.56; 36 ÷ 24 = 1.5; 36 ÷ 25 = 1.44; 36 ÷ 26 = 1.38; 36 ÷ 27 = 1.33; 36 ÷ 28 = 1.28; 36 ÷ 29 = 1.24; 36 ÷ 30 = 1.2; 36 ÷ 31 = 1.16; 36 ÷ 32 = 1.12; 36 ÷ 33 = 1.09; 36 ÷ 34 = 1.05; 36 ÷ 35 = 1.02; 36 ÷ 36 = 1

The factors of 16 are**1, 2, 4, 8** and **16**. The factors of 36 are **1, 2, 3, 4, 6, 9, 12, 18** and **36**. The factors that can be found in both 16 and 36 include the numbers 1, 2 and 4. **4** is, therefore, the highest common factor so Answer (b) is the correct answer

36 ÷ 1 = 36; 36 ÷ 2 = 18; 36 ÷ 3 = 12; 36 ÷ 4 = 9; 36 ÷ 5 = 7.2; 36 ÷ 6 = 6; 36 ÷ 7 = 5.14; 36 ÷ 8 = 4.5; 36 ÷ 9 = 4; 36 ÷ 10 = 3.6; 36 ÷ 11 = 3.27; 36 ÷ 12 = 3; 36 ÷ 13 = 2.76; 36 ÷ 14 = 2.57; 36 ÷ 15 = 2.4; 36 ÷ 16 = 2.25; 36 ÷ 17 = 2.11; 36 ÷ 18 = 2; 36 ÷ 19 = 1.89; 36 ÷ 20 = 1.8; 36 ÷ 21 = 1.71; 36 ÷ 22 = 1.63; 36 ÷ 23 = 1.56; 36 ÷ 24 = 1.5; 36 ÷ 25 = 1.44; 36 ÷ 26 = 1.38; 36 ÷ 27 = 1.33; 36 ÷ 28 = 1.28; 36 ÷ 29 = 1.24; 36 ÷ 30 = 1.2; 36 ÷ 31 = 1.16; 36 ÷ 32 = 1.12; 36 ÷ 33 = 1.09; 36 ÷ 34 = 1.05; 36 ÷ 35 = 1.02; 36 ÷ 36 = 1

The factors of 16 are

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16 ÷ 1 = 16; 16 ÷ 2 = 8; 16 ÷ 3 = 5.33; 16 ÷ 4 = 4; 16 ÷ 5 = 3.2; 16 ÷ 6 = 2.66; 16 ÷ 7 = 2.57; 16 ÷ 8 = 2; 16 ÷ 9 = 1.77; 16 ÷ 10 = 1.6; 16 ÷ 11 = 1.45; 16 ÷ 12 = 1.33; 16 ÷ 13 = 1.23; 16 ÷ 14 = 1.14; 16 ÷ 15 = 1.06; 16 ÷ 16 = 1

The factors of 8 are

1, 2, 4and8. The factors of 16 are1, 2, 4, 8and16. The factors that can be found in both 8 and 16 include the numbers 1, 2, 4 and 8.8is, therefore, the highest common factor so Answer (b) is the correct answer