# What is the GCF of 16 and 25?

The greatest or highest common factor, in short, GCF of two numbers 16 and 25 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 16 and 25 is 1

Let us see how to find the GCF of 16 and 25.

## Explanation

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

## Methods to Calculate GCF of 16 and 25

- Prime factorization Method
- Listing the common factors method

### Method 1 : GCF of 16 and 25 by Prime Factorization

We express 16 and 25 as a product of its prime factors.

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

Prime factorization of 25 is 5 × 5

Since there are no common factors 1 is the GCF.

GCF(16,25) is 1

### Method 2: GCF of 16 and 25 by Listing the Common Factors

Step-1: List all the factors of 16 and 25

Step-2: Identify the common factors.

Step-3: The highest among the common factors is the GCF of 16 and 25.

**1,** 2, 4, 8, 16 are the factors of 16, and **1,** 5, 25 are the factors of 25.

Common Factors of 16 and 25: 1.

GCF of 16 and 25 is 1

Irrespective of the method, the GCF(16,25) is the same as 1. 16 and 25 are examples of co-primes