# What is the GCF of 5 and 35?

To find the GCF (Greatest Common Factor) of two numbers, we have to determine the largest possible number which divides the two numbers exactly leaving the remainder as 0.

## Answer: GCF of 5 and 35 is 5

Lets see how to find the GCF of 5 and 35

## Explanation:

GCF of 5 and 35 will the greatest number that divides 5 and 35 exactly, that is, leaving the remainder 0

We can explain the GCF of 5 and 35 by the following two methods.

- Listing the common factors method
- Prime factorization Method

## Methods to Find GCF of 5 and 35

### GCF of 5 and 35 by Listing the Common Factors

The list of factors of 5 and 35 is shown below.

Factors of 5: 1, 5

Factors of 35: 1, 5, 7, 35

We can observe that the common factors of 5 and 35 are 1 and 5

So, the greatest common factor of 5 and 35 is 5

GCF of 5 and 35 is 5

### GCF of 5 and 35 by Prime Factorization

Let us express the numbers, 5 and 35 as a product of its prime factors.

Prime factorization of 5 is 1 × 5

Prime factorization of 35 is 5 × 7

The common prime factor is 5

GCF of 5 and 35 is the product of the prime factors that are common to the prime factorization of 5 and 35

GCF of 5 and 35 is 5

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