# What is the GCF of 5 and 8?

The greatest common factor of two or more non-zero integers, x & y, is the greatest positive integer m, which divides both, x & y

## Answer: The GCF of 5 and 8 is 1

Let us see how to find the GCF of 5 and 8 using different methods.

## Explanation

We have multiple ways to calculate the GCF of 5 and 8

- Prime factorization
- Listing common factors

### Method :1 GCF of 5 and 8 by Prime factorization

Let's prime factorize the numbers 5 and 8:

Prime Factorisation of 5: 5

Prime Factorisation of 8: 2×2×2

GCF is the product of all the common factors of 5 and 8 taken once.

We don't see any common factors. so the universal factor 1 is the GCF of 5 and 8.

Hence, GCF(5,8) = 1

### Method 2: Listing common factors of 5 and 8

In this method, all the factors of 5 and 8 will be written and the greatest factor that is common to them will be chosen as the GCF

Factors of 5: , 5

Factors of 8: **11**, 2, 4, 8

only 1 is the common factor which is also their greatest common factor.

Hence, GCF(5,8) is equal to 1