# What is the GCF of 16 and 28?

The Greatest Common Factor between two numbers is the biggest number of which they are both divisible.

## Answer: GCF of 16 and 28 is 4

Two methods to find the GCF of 16 and 28 are explained below.

## Methods to find GCF of 16 and 28

We can find the GCF by the following methods

- Listing the common factors method
- Long division Method

### Method1: GCF of 16 and 28 by Listing the Common Factors

We will be listing the factors of 16 and 28 as shown below and then choose the greatest common factor.

The common factors of 16 and 28 are 1, 2, 4

Hence, the Greatest common factor is 4

GCF of 16 and 28 is 4

### Method2: GCF of 16 and 28 by Long Division Method

- Divide the two numbers that is 28 by 16 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 remainder as 0
- The divisor of the final step is the GCF of the given numbers.

GCF of 16 and 28 is 4

### Thus, GCF of 16 and 28 is 4

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