Question

Find the hcf using prime factorization methode 20 and 40

Answer 1

Given :

• 20
• 40

To find :

HCF of above Number

Solution :

• HCF , stand for Highest Common Factor .
• HCF for given number [ here 20,40] is the greatest number by which when the given [ here 20,40 ] will be divided , it will leave zero as remainders.

Here we need to find HCF by prime factorization method, for that we need to find prime factor of given number [ here 20,40 ]

20 = 2 × 2 × 5

40 = 2 × 2 × 2 × 5

Now , we need to take prime factor which are common to both the number.

Here common prime factor are ➝ 2 , 2 and 5

So HCF of 20 & 40 = 2×2×5 = 20

ANSWER : 20