# What is the GCF of 5 and 30?

GCF (Greatest Common Factor) of two numbers is the largest possible number that divides the two numbers exactly without leaving any remainder.

## Answer: GCF of 5 and 30 is 5

GCF of 5 and 30 is the highest number that divides 5 and 30 exactly leaving the remainder 0.

## Explanation:

We can find the GCF of 5 and 30 by the following two methods.

- Prime factorization Method
- Listing Common factors method

### Method 1: Calculate GCF of 5 and 30 by Prime Factorization

Let us represent 5 and 30 as a product of its prime factors.

- Prime factorization of 5 is 5
- Prime factorization of 30 is 2 × 3 × 5

The common factor in the prime factorization of 5 and 30 is 5

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

So, GCF of 5 and 30 is 5

### Method 2: Calculate GCF of 5 and 30 by Listing the Common Factors

The factors of 5 and 30 are shown below.

- Factors of 5: 1,
__5__ - Factors of 30: 1, 2, 3,
, 6, 10, 15, 30__5__

Observe that the common factors of 5 and 30 are 1 and 5.

The greatest common factor of 5 and 30 is 5.

Thus, GCF of 5 and 30 is 5.

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