# What is the GCF of 8 and 10?

GCF (Greatest Common Factor) of two or more numbers is the largest possible number which divides the given numbers exactly leaving remainder as 0.

## Answer: Greatest Common Factor of 8 and 10 is 2

Two methods to find the GCF of 8 and 10 are explained below.

## Methods to find GCF of 8 and 10

- Prime factorization Method
- Listing the common factors method

### Method1: GCF of 8 and 10 by Prime Factorization

Let us represent 8 and 10 as a product of its prime factors.

Prime factorization of 8: 2 × 2 × 2

Prime factorization of 10: 2 × 5

Common factors: 2

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

GCF = 2

### Method2: GCF of 8 and 10 by Listing the Common Factors

Common Factors of 8 & 10: 2

GCF(8,10) is 2

GCF of 8 and 10 is 2