# What is the GCF of 30 and 54?

The greatest common factor of 30 and 54 is the greatest possible number which divides 30 and 54 exactly without any remainder.

## Answer: The GCF of 30 and 54 is 6.

## Explanation:

The highest common factor can be calculated by the following methods.

### Methods to find GCF of 30 and 54

- Prime factorization Method
- Listing the common factors method

### Calculate GCF of 30 and 54 by Prime Factorization

Let us represent 30 and 54 as a product of its prime factors

Prime factorization of 30 is 2 × 3 × 5

Prime factorization of 54 is 2 × 3 × 3 × 3

Common factors = 2 × 3

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

This means the GCF of 30 and 54 is 6

### Calculate GCF of 30 and 54 by Listing the Common Factors

Common Factors of 30 and 54: 1, 2, 3 and 6

The greatest common factor of 30 and 54 is 6

So, GCF of 30 and 54 is 6

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