# What is the GCF of 9 and 27?

GCF (Greatest Common Factor) of Nine and Twenty-Seven is the largest possible number which divides Nine and Twenty-Seven exactly without any remainder.

## Answer: GCF of 9 and 27 is 9

Lets see how to find the GCF of 9 and 27

## Explanation:

We can find the GCF of Nine and Twenty-Seven by the following methods:

- Prime factorization Method
- Listing the common factors method
- Long division Method

### GCF of 9 and 27 by Listing the Common Factors

Common Factors of Nine and Twenty-Seven:

1, 3, and 9

The greatest common factor is 9

GCF of Nine and Twenty-Seven is **9**

### GCF of 9 and 27 by Prime Factorization

Let us represent Nine and Twenty-Seven as a product of its prime numbers

Prime factorization of Nine is 3 × 3

Prime factorization of Twenty-Seven is 3 × 3 × 3

Common factors = 3, 3

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

GCF is 3 × 3 = 9