Question

Find the HCF of 168 and 264 by prime factorization method

Answer 1

Answer:

Answer

Find the prime factorization of 168. 168 = 2 × 2 × 2 × 3 × 7.

Find the prime factorization of 264. 264 = 2 × 2 × 2 × 3 × 11.

Therefore, GCF = 2 × 2 × 2 × 3.

Step-by-step explanation:

Answer 2

GIVEN:- To find the HCF of 168 and 264 by prime factorization method.

SOLUTION:-

first find the prime factor of both number and find common number and then multiply all common number together.

So, prime factor of 168.

168 = 2×2×2×3×7

And , prime factor of 264.

264 = 2×2×2×3×11

And common number between 168 and 264.

168 = 2×2×2×3×7

264 = 2×2×2×3×11

_________________

HCF = 2×2×2×3

= 24.

Therefore, HCF of 168 and 264 is 24.

THANKS.