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------------------------------------------------ Find the H.C.F of 66 and 72 by prime factorization method​

Answer :

Final answer:

The H.C.F of 66 and 72 is 6.

Explanation:

To find the H.C.F (Highest Common Factor) of 66 and 72 using the prime factorization method, we need to factorize both numbers into their prime factors.

Prime factorization of 66: 2 x 3 x 11

Prime factorization of 72: 2 x 2 x 2 x 3 x 3

The common factors between 66 and 72 are the prime factors that they both share.

In this case, the common factors are 2 and 3.

To find the H.C.F, we multiply the common factors together: H.C.F = 2 x 3 = 6

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