# What is the HCF of 2472 and 1284?

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

## Answer: HCF of 2472 and 1284 is 12

We will explain two methods to find the HCF of 2472 and 1284

## Explanation:

The two methods that we are using to find HCF of 2472 and 1284 are shown below.

- HCF of 2472 and 1284 by Prime Factorization
- HCF of 2472 and 1284 by Listing Method

### Method 1: HCF of 2472 and 1284 by Prime Factorization

Represent 2472 and 1284 as a product of its prime factors.

Prime factorization of 2472 is 2 × 2 × 2 × 3 × 103

Prime factorization of 1284 is 2 × 2 × 3 × 107

The common factor in the prime factorization of 2472 and 1284 is 2 × 2 × 3

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

So, HCF of 2472 and 1284 is 12

### Method 2: HCF of 2472 and 1284 by Listing Method

The factors of 2472 and 1284 are shown below.

There are six common factors of 2472 and 1284, that are, 1, 2, 3, 4, 6, and 12

So, HCF of 2472 and 1284 is 12

Irrespective of the method, the solution to our question HCF of 2472 and 1284 is the same.