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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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