Question

find the HCF by prime factorisation method
60 and 75
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Answer 1

Step-by-step explanation:

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HCF of 60 and 75= 15

Answer 2

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HCF of 60 and 75 by Prime Factorization :-

Let us represent 60 and 75 as a product of its prime factors.

$Prime \: factorization of \: 60 \\ = 2 \times 2 \times 3 \times 5$

$Prime \: factorization \: of \: 75 \\ = 5 × 5 × 3$

The common factors in the prime factorization of 60 and 75 are 3 and 5

HCF is the product of the factors that are common to the prime factorization of 60 and 75

$\large\red{ HCF \: of \: 60 \: and \: 75 = 15}$