# What is the HCF of 12, 24 and 36?

To find the HCF (Highest Common Factor) of three numbers, we have to determine the largest possible number which divides the three numbers exactly leaving the remainder as 0.

## Answer: HCF of 12, 24, and 36 is 12

Let us see how to find the HCF of 12,24 and 36

## Explanation:

HCF of 12, 24, and 36 will the greatest number that divides 12, 24, and 36 exactly, that is, leaving the remainder 0

We will explain the following two methods to find the HCF of 12, 24 and 36

- Prime factorization Method
- Listing the common factors method

## Methods to Find HCF of 12, 24, and 36

### Method 1: HCF of 12, 24, and 36 by Prime Factorization

We will express the numbers 12, 24 and 36 as a product of their prime factors.

Prime factorization of 12 is 2 × 2 × 3

Prime factorization of 24 is 2 × 2 × 2 × 3

Prime factorization of 36 is 2 × 2 × 3 × 3

Common factors = 2 × 2 × 3

HCF is the product of the prime factors that are common to the numbers, 12, 24, and 36

So, HCF of 12, 24, and 36 is 2 × 2 × 3 = 12

### Method 2: HCF of 12, 24, and 36 by Listing the Common Factors

The common factors of 12, 24, and 36 are 1, 2, 3, 4, 6 and 12

The greatest common factor is 12

So, HCF of 12, 24, and 36 is 12