# What is the HCF of 5 and 10?

HCF of two numbers 5 and 10 is the largest possible number which divides both the numbers exactly. Hence, the 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.

## Answer: HCF of 5 and 10 is 5

## Explanation:

We can find the HCF by the following methods

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

### Method 1: HCF of 5 and 10 by Prime Factorization

Let us represent 5 and 10 as a product of its prime numbers

Prime factorization of 5 is **5**

Prime factorization of 10 is 2 × **5**

Common factor = 5

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

HCF is 5

### Method 2: HCF of 5 and 10 by Long Division

- Step 1: Divide 10 by 5 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 remainder as 0

You can find the HCF in any of the above methods but the solution will be the same.