# GCF of 15 and 20 Calculator

Here is a handy little GCF Calculator that you can use to find the GCF of two numbers 15, 20 i.e. 5 the largest number that divides both the numbers exactly.

Greatest Common Factor of 15 and 20 is 5

GCF(15, 20) = 5

Ex: number 1 - 1500 and number 2 - 20.

GCF of
and

### GCF of 15 and 20 using Prime Factorization Method

Given Inputs are 15, 20

To find the GCF using the Prime Factorization Method you just need to list out the prime factors of both the numbers.

Prime Factorization of 15 as under

 3 15 5 5 1

Prime factors of 15 are 3,5. Prime factorization of 15 in exponential form is:

15 = 31×51

Prime Factorization of 20 is as such

 2 20 2 10 5 5 1

Prime factors of 20 are 2,5. Prime factorization of 20 in exponential form is:

20 = 22×51

Occurrences of Common Prime Factors from both the numbers 15 and 20 is 5

Therefore, GCF of two numbers 15 and 20 is 5

### GCF of 15, 20 using Factoring Method

Given input data is 15, 20

Make a list of factors for the corresponding input numbers

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Figure out the highest common factor from factors of both the numbers and that is the GCF. In this case, it is 5

Therefore, GCF of two numbers 15 ad 20 is 5

### Frequently Asked Questions on GCF of 15 and 20

1. What is the GCF of numbers 15 and 20?

GCF of numbers 15 and 20 is 5.

2. How to find GCF of 15 and 20 easily?

Take the help of GCF Calculator existing and input the numbers 15, 20 in the input field provided and tap on the Calculate Button to avail the Greatest Common Factor with detailed steps.

3. Where do I find an elaborate explanation on finding GCF of 15, 20?

You can find an elaborate explanation on finding GCF of 15, 20 on our page.