# What is the GCF of 27 and 48?

The largest possible number which divides both the numbers exactly is called GCF of two numbers 27 and 48.

## Answer: GCF of 27 and 48 is 3

Let us see how to find the GCF of 27 and 48.

## Explanation

The greatest common factor of two numbers is the largest possible number which divides both the numbers exactly without any remainder.

## Methods to Find GCF of 27 and 48

- Prime factorization
- Listing the common factors

### Method 1: GCF of 27 and 48 by Prime Factorization

In this method, we represent 27 and 48 as a product of its prime numbers

Prime factorization of 27 is 3 × 3 x 3

Prime factorization of 48 is 2 × 2 x 2 × 2 × 3

Common factor = 3

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

GCF is 3

### Method 2: GCF of 27 and 48 by Listing the Common Factors

Identify the common factors from the list of all the factors of 27 and 48. The highest among the common factors is the GCF of 27 and 48.

**1,** **3,** 9, 27 are the factors of 27, whereas **1,** 2, **3,** 4, 6, 8, 12, 16, 24, 48 are the factors of 48.

Common Factors of 27 and 48: 1, 3.

The greatest common factor(GCF) of 27 and 48 is 3.

Irrespective of the method, the GCF(27,48) is the same.