Question

please tell me the hcf of 300 and 100 by prime factorization method

Answer 1

This is the solve for the above problem.

Answer 2

Answer:

100

Step-by-step explanation:

HCF using Prime Factorisation.

We know that HCF of two numbers is the product of low powers of common terms.

That is the least degree of power of the common term is when multiplied by other such terms is the HCF of two numbers.

Numbers in this Question = 300, 100

⇒ 300 = 2 × 2 × 3 × 5 × 5 ⇒ 2² × 5² × 3

⇒ 100 = 2 × 2 × 5 × 5 ⇒ 2² × 5²

Now the common terms are 2 and 5.

The least power of 2 is 2² and that of 5 is 5².

Hence HCF = 2² × 5² = 4 × 25 = 100

Hope it helped !