# What is the GCF of 6 and 27?

GCF of two numbers 6 and 27 is the largest possible whole number which divides both the numbers exactly.

## Answer: GCF of 6 and 27 is 3

Let us find GCF of 6 and 27

## Explanation:

The greatest common factor (GCF) of two numbers is the largest possible number which divides both the numbers exactly without any remainder. It is also called the highest common factor(HCF).

We will use the following two methods to find the GCF of 6 and 27.

- GCF of 6 and 27 by Prime factorization Method
- GCF of 6 and 27 by Listing Method

### Method 1: Find GCF of 6 and 27 by Prime Factorization

In this method, we express 6 and 27 as a product of its prime factors.

Prime factorization of 6 is 2 × 3

Prime factorization of 27 is 3 × 3 × 3

Common factor = 3

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

GCF is 3

### Method 2: Find GCF of 6 and 27 by Listing the Common Factors

In this method, we list all the factors of 6 and 27, then identify the common factors.

The highest among the common factors is the GCF of 6 and 27.

The factors of 6 are 1, 2, 3, 6

The factors of 27 are 1, 3, 9, 27.

Common Factors of 6 and 27 are 1 and 3.

The greatest common factor of 6 and 27 3

GCF of 6 and 27 is 3

The GCF of 6 and 27 is the same as 3 and is independent of the method we choose.