# What is the HCF of 12 and 20?

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

## Answer: HCF of 12 and 20 is 4

Let's find the HCF of 12 and 20

## Explanation:

We can find the HCF by the following methods

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

### HCF of 12 and 20 by Prime Factorization

Let us represent 12 and 20 as a product of its prime numbers

Prime factorization of 12 is

12 = 2 × 2 × 3

Prime factorization of 20 is

20 = 2 × 2 × 5

Common factors = 2 × 2

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

HCF is **Four**

### HCF of 12 and 20 by Listing the Common Factors

Common Factors of 12 and 20: 1, 2, 4

The greatest common factor is 4

HCF of 12 and 20 is **Four**