# What is the GCF of 10 and 16?

GCF(greatest common factor) of two numbers 10 and 16 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 10 and 16 is 2

Let us see how to find the GCF of 10 and 16.

## Explanation

The greatest common factor or the highest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder.

## Methods to Find GCF of 10 and 16

- Prime factorization
- Listing the common factors

### Method 1: GCF of 10 and 16 by Prime Factorization

In this method, we represent 10 and 16 as a product of its prime numbers

Prime factorization of 10 is 2 × 5

Prime factorization of 16 is 2 × 2 x 2 x 2

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

GCF(10,16) is 2

### Method 2: GCF of 10 and 16 by Listing the Common Factors

In this method, we list all the factors of 10 and 16, then identify the common factors.

The highest among the common factors is the GCF of 10 and 16.

The factors of 10 are 1, 2, 5

The factors of 16 are 1, 2, 4, 8, 16

Common Factors of 10 and 16: 1, 2.

Greatest common factor= 2

The greatest common factor(GCF) of 10 and 16 is 2