Question

Use prime factorization to find the H.C.F of the following:34,102

Answer 1

To find : HCF of 34, 102

Method : Prime Factorisation

Solution :

• To find HCF of any two numbers using prime factorisation method, we will express the no.s as product of their primes.

$34 = 2 \times 17 \: \: \: \: \: \: 102 = 2 \times 3 \times 17$

• Next step is to find common factors of both.

Common factors of 34 and 102 are 2 and 17.

• Multiply the factors and hence the HCF is obtained.

HCF(34,102) = 2 * 17 = 34

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