# What is The HCF of 12 and 30?

HCF (Highest Common Factor) of two numbers is the highest possible number which divides the two numbers exactly without any remainder.

## Answer: HCF of 12 and 30 is 6

## Explanation:

### HCF of 12 and 30 by Prime Factorization

Represent 12 and 30 as a product of its prime factors.

Prime factorization of 12 is 2 × 2 × 3

Prime factorization of 30 is 2 × 3 × 5

The common factors in the prime factorization of 12 and 30 are 2 and 3

HCF is the product of the factors that are common to each of the given numbers.

Since the common factors are 2 and 3, the HCF of 12 and 30 is 6

### HCF of 12 and 30 by Listing the Common Factors

The common factors of 12 and 30 are 1, 2, 3, and 6

So, HCF of 12 and 30 is 6

You can find the HCF in any of the above methods but the solution will be the same.