# What is the GCF of 5 and 10?

The Greatest Common Factor of two or more numbers is the largest possible number that divides the given numbers exactly without any remainder.

## Answer: GCF of 5 and 10 is 5

Lets see how to find the GCF of 5 and 10

## Explanation:

We can find the Greatest Common Factor by the following methods

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

### GCF of 5 and 10 by Long Division

- Divide ten by five and check the remainder.
- 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.
- Continue till you get the remainder as 0

**change reminder to remainder, and change HCF to GCF**

### GCF of 5 and 10 by Prime Factorization

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

Prime factorization of 5 is 1 × 5

Prime factorization of 10 is 2 × 5

Common factors = 5,1

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

GCF is 5 × 1= 5