# What is the GCF of 9 and 16?

GCF (Greatest Common Factor) of two numbers is the largest possible number which divides the numbers exactly without any remainder.

## Answer: GCF of 9 and 16 is 1.

Lets see how to find the GCF of 9 and 16

## Explanation:

Let us find the GCF of 9 and 16 by prime factorization and listing the factors method.

### GCF of 9 and 16 by Prime Factorization

Represent 9 and 16 as a product of its prime factors.

Prime factorization of 9 is 3 × 3

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

We see that 9 and 16 don't have any common prime factors.

So the GCF of 9 and 16 is the universal factor 1.

### GCF of 9 and 16 by Listing the Common Factors

The factors of 9 and 16 are:

Factors of 9: 1, 3, 9

Factors of 16: 1, 2, 4, 8, 16

There is only one common factor of 9 and 16, that is, 1

So, GCF of 9 and 16 is 1

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