# What is the HCF of 1260 and 7344?

Highest Common Factor of two numbers is the largest possible number which divides the two numbers exactly without any remainder.

## Answer: HCF of 1260 and 7344 is 36

## Explation:

### HCF of 1260 and 7344 by Prime Factorization

Represent 1260 and 7344 as a product of its prime factors.

Prime factorization of 1260 is 2 × 2 × 3 × 3 × 5 × 7

Prime factorization of 7344 is 2 × 2 × 2 × 2× 3 × 3 × 3 × 17

The common factors in the prime factorization of 1260 and 7344 are 2, 2, 3, and 3

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

Since the common factors are 2, 2, 3, and 3, the HCF of 1260 and 7344 is 36

### HCF of 1260 and 7344 by Listing the Common Factors

The common factors of 1260 and 7344 are 1, 2, 3, 4, 6, 9, 12, 18, and 36

So, HCF of 1260 and 7344 is 36

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