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Highest common factor worksheet. The highest common factor (HCF) is found by finding all common factors of two numbers and selecting the largest one. For example, 8 and 12 have common factors of 1, 2, and 4. The highest common factor is 4.

1.
Highest Common Factor

Name: ________________________ Class: ___________

Find the highest common factor of the following numbers:

(1) HCF of 12 and 15________ (5) HCF of 16 and 24________

(2) HCF of 10 and 8 ________ (6) HCF of 12 and 18________

(3) HCF of 20 and 15________ (7) HCF of 50 and 15________

(4) HCF of 25 and 10________ 8) HCF of 20 and 40________

(9) HCF of 18 and 30________ (13) HCF of 8 and 24________

(10) HCF of 12 and 24________ (14) HCF of 5 and 50________

(11) HCF of 15 and 75________ (15) HCF of 12 and 50________

(12) HCF of 25 and 50________ (16) HCF of 8 and 100________

(17) HCF of 14 and 16________ (22) HCF of 10 and 30________

(18) HCF of 20 and 24________ (23) HCF of 24 and 32________

(19) HCF of 12 and 21________ (24) HCF of 48 and 12________

(21) HCF of 27 and 15________ (25) HCF of 13 and 15________

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Name: ________________________ Class: ___________

Find the highest common factor of the following numbers:

(1) HCF of 12 and 15________ (5) HCF of 16 and 24________

(2) HCF of 10 and 8 ________ (6) HCF of 12 and 18________

(3) HCF of 20 and 15________ (7) HCF of 50 and 15________

(4) HCF of 25 and 10________ 8) HCF of 20 and 40________

(9) HCF of 18 and 30________ (13) HCF of 8 and 24________

(10) HCF of 12 and 24________ (14) HCF of 5 and 50________

(11) HCF of 15 and 75________ (15) HCF of 12 and 50________

(12) HCF of 25 and 50________ (16) HCF of 8 and 100________

(17) HCF of 14 and 16________ (22) HCF of 10 and 30________

(18) HCF of 20 and 24________ (23) HCF of 24 and 32________

(19) HCF of 12 and 21________ (24) HCF of 48 and 12________

(21) HCF of 27 and 15________ (25) HCF of 13 and 15________

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2.
Answers

3

(1) HCF of 12 and 15_________ (5) HCF of 16 and 24_ 8

2

(2) HCF of 10 and 8 ________ 6

(6) HCF of 12 and 18________

5

(3) HCF of 20 and 15_________ 5

(7) HCF of 50 and 15________

5

(4) HCF of 25 and 10_________ 20

(8) HCF of 20 and 40_________

6

(9) HCF of 18 and 30__________ 8

(13) HCF of 8 and 24_________

12

(10) HCF of 12 and 24__________ 5

(14) HCF of 5 and 50_________

(11) HCF of 15 and 75__________

15 2

(15) HCF of 12 and 50________

25

(12) HCF of 25 and 50__________ 4

(16) HCF of 8 and 100________

(17) HCF of 14 and 16__________

2 10

(22) HCF of 10 and 30________

(18) HCF of 20 and 24__________

4 8

(23) HCF of 24 and 32________

(19) HCF of 12 and 21__________

3 12

(24) HCF of 48 and 12________

(21) HCF of 27 and 15__________

3 1

(25) HCF of 13 and 15________

3

(1) HCF of 12 and 15_________ (5) HCF of 16 and 24_ 8

2

(2) HCF of 10 and 8 ________ 6

(6) HCF of 12 and 18________

5

(3) HCF of 20 and 15_________ 5

(7) HCF of 50 and 15________

5

(4) HCF of 25 and 10_________ 20

(8) HCF of 20 and 40_________

6

(9) HCF of 18 and 30__________ 8

(13) HCF of 8 and 24_________

12

(10) HCF of 12 and 24__________ 5

(14) HCF of 5 and 50_________

(11) HCF of 15 and 75__________

15 2

(15) HCF of 12 and 50________

25

(12) HCF of 25 and 50__________ 4

(16) HCF of 8 and 100________

(17) HCF of 14 and 16__________

2 10

(22) HCF of 10 and 30________

(18) HCF of 20 and 24__________

4 8

(23) HCF of 24 and 32________

(19) HCF of 12 and 21__________

3 12

(24) HCF of 48 and 12________

(21) HCF of 27 and 15__________

3 1

(25) HCF of 13 and 15________