• Brainly User
2014-11-01T18:51:48+05:30
The HCF (Highest common factor) of 44 and 66 is 22
The factors of 44 are:
1, 2, 4, 11, 22, 44

The factors of 66 are:
1, 2, 3, 6, 11, 22, 33, 66

The common factors are:
1, 2, 11, 22

The highest Common Factor:
HCF = 22
priyanshi.. you should write the prime factors of both numbers and then choose the common prime factors. what you have written is not the best method.
okay sir
2014-11-03T10:02:40+05:30

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44 = 2 * 2 * 11
66 = 2 * 3 * 11

All the common factors are = 2 and 11.

So HCF = 2 * 11 = 22.
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another method

66 - 44 = 22    check if 22 divides both .  Since it divides both, 22 is the HCF.

Find difference  A - B of given numbers.   if A-B  divides A and B, then A-B is HCF.  Otherwise,  Find difference of  (A-B) and B.  Check if it divides both (A-B) and B.    if so, then difference is the HCF.   Otherwise, continue in the same way, till the difference divides both numbers.