The H.C.F. (by prime factorization method) of 84, 144 is __________.

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answer is C.

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Detailed Solution

Now, of two or more numbers will be the product of common prime factors with the lowest exponential power.

Prime factorisation of 84 and 144 can be seen below:

84 = 2 × 2 × 3 × 7 and,

144 = 2 × 2 × 2 × 2 × 3 × 3.

As we can see, 84 and 144 have common prime factors.

Hence, the HCF of 84 and 144 is 2 × 2 × 3 = 12.

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