# What is the GCF of 42 and 48?

The greatest common factor or GCF of two numbers 42 and 48 is the largest possible number which divides both the numbers exactly.

## Answer: GCF of 42 and 48 is 6

Let us see how to find the GCF of 42 and 48.

## Explanation

The greatest common factor or 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.

## Methods to Find GCF of 42 and 48

- Listing the common factors
- Long division

### Method 1: GCF of 42 and 48 by Listing the Common Factors

We list all the factors of 42 and 48, then identify the common factors.

The highest among the common factors is the GCF of 42 and 48.

The factors of 42 are **1,** **2,** **3,** **6,** 7, 14, 21, 42

The factors of 48 are **1,** **2,** **3,** 4, **6,** 8, 12, 16, 24, 48

Common Factors of 42 and 48: 1, 2, 3, 6.

The greatest common factor is 6.

The GCF of 42 and 48 is 6

### Method 2: GCF of 42 and 48 by Long Division

- Divide 48 by 42 and check the remainder.
- 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.
- Continue till you get the remainder as 0.

GCF(42,48) is the same as 6 as we got in method 1.