Question

Find the HCF of the following by factorization 352 and. 192​

Answer 1

Answer:

352=2*2*2*2*2*11

192=2*2*2*2*2*2*3

HCF= 32

Answer 2

The HCF of 352 and 192 is 32.

Given:

Two numbers, 352 and 192.

To Find:

The HCF of 352 and 192.

Solution:

The prime factorization of a number means to write that number as a product of its prime factors.

The prime factorization of 352 and 192 are:

352 = 2 x 2 x 2 x 2 x 2 x 11 = $2^{5}$ × $11^{1}$

192 = 2 × 2 × 2 × 2 × 2 × 2 × 3 = $2^{6}$ × 3

The HCF of 352 and 192 can be found by collecting the common terms of 352 and 192.

We observe that $2^{5}$ = 32 is common to 352 and 192.

Hence, the HCF (325, 192) = 32.

∴ The HCF of 352 and 192 is 32.

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