# What is the GCF of 24 and 27?

The largest possible number which divides the given numbers exactly without any remainder is called the GCF (Greatest Common Factor).

## Answer: GCF of 24 and 27 is 3

We will explain two methods to find the GCF of 24 and 27

## Explanation:

The two methods that we are using to find GCF of 24 and 27 are shown below.

- Listing the common factors method
- Long Division method

### Method 1: Find GCF of 24 and 27 by Listing Common Factors

The factors of 24 and 27 are shown below.

The common factor of 24 and 27 is 3

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

So, GCF of 24 and 27 is 3

### Method 2: Find GCF of 24 and 27 by Long Division

The steps to find the GCF(24, 27) by long division are mentioned below.

**Step 1:** Divide 27 by 24 and check the remainder. We get the remainder 3.

**Step 2:** Make the remainder of the above step 1 as the divisor and the divisor of the above step 24 as the dividend and perform the long division again.

**Step 3:** Continue till you get the remainder as 0 and the last divisor is the GCF of 27 and 24

The greatest common factor of 24 and 27 is 3

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