Worksheet on Highest Common Factor

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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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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________