# What is the GCF of 12 and 27?

Greatest Common Factor of two or more numbers is the largest possible number which divides the given numbers exactly without any remainder.

## Answer: The GCF of 12 and 27 is 3.

## Explanation:

We can find the GCF by the following methods

## Methods to find GCF of 12 and 27

We can calculate the greatest common factor(GCF), by the following methods

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

### GCF(12, 27) by Listing the Common Factors

The factors of 12 and 27 are:

The common factors of 12 and 27 are 1 and 3

The greatest common factor of 12 and 27 is 3

So, GCF of 12 and 27 is 3

### GCF(12, 27) by Long Division

- Step 1: Divide 27 by 12 and check the remainder.
- Step 2: Make the remainder of the above step as the divisor and the divisor of the above step as the dividend and perform the long division again.
- Step 3: Continue till you get the remainder as 0

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

### Thus, GCF of 27 and 12 is 3

Download FREE Study Materials

SHEETS