# What is the HCF of 10 and 12?

HCF(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 10 and 12 is 2

We will learn two methods to find HCF of 10 and 12

## Explanation

HCF(Highest Common Factor) of 10 and 12 is the highest possible number which divides 10 and 12 exactly without any remainder.

- HCF of 10 and 12 by Listing the Common Factors
- HCF of 10 and 12 by Prime factorization

### Method 1: HCF of 10 and 12 by Listing the Common Factors

Factors of 10: 1, 2, 5, 10

Factors of 12: 1, 2, 3, 4, 6, 12

Common Factors of 10 and 12 are 1 and 2

The Highest Common Factor of 10 and 12: 2

So, HCF (10,12) = 2

### HCF of 10 and 12 by Prime factorization

Let us express 10 and 12 in the prime factored form

10 = 2 × 5

12 = 2 ×2 × 3

We see only 2 is the factor common to both.