# How to find the HCF of 60 and 72?

HCF of two numbers 60 and 72 is the largest possible number which divides both the numbers exactly.

## Answer: HCF of 60 and 72 is 12

## Explanation:

Highest Common Factor (HCF) or Greatest Common Factor (GCF) of two numbers is the largest possible number which divides both the numbers exactly without any remainder.

We can find the HCF by the following methods

- Prime factorization Method
- Listing the common factors method
- Long division Method

### Method 1: HCF of 60 and 72 by Prime Factorization

Let us represent 60 and 72 as a product of its prime numbers

Prime factorization of 60 is 2 x 2 x 3 x 5

Prime factorization of 72 is 2 x 2 x 2 x 3 x 3

Common factor = 2, 2, 3

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

HCF is 2 x 2 x 3

### Method 2: HCF of 60 and 72 by Long Division

- Step 1: Divide 72 by 60 and check the remainder.
- Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Step 3: Continue till you get the remainder as 0. You can find the HCF in any of the above methods but the solution will be the same.