# What is the GCF of 4 and 6?

To find the Greatest Common Factor of two numbers, we have to determine the largest possible number which divides the two numbers exactly leaving the remainder as 0.

## Answer: GCF of 4 and 6 is 2

We can explain the GCF of 4 and 6 by the following two methods.

## Methods to find GCF of 4 and 6

- Listing the common factors method
- Prime factorization Method

### Method 1: GCF of 4 and 6 by Listing the Common Factors

The list of factors of 4 and 6 is shown below.

We can observe that the common factor of 4 and 6 is 2

So, the greatest common factor of 4 and 6 is 2

GCF of 4 and 6 is 2

### Method 2: GCF of 4 and 6 by Prime Factorization

Let us express the numbers, 4 and 6 as a product of its prime factors.

Prime factorization of 4 is 2 × 2

Prime factorization of 6 is 2 × 3

The common prime factor is 2

GCF of 4 and 6 is the product of the prime factors that are common to the prime factorization of 4 and 6

GCF of 4 and 6 is 2

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