# GCF of 36 and 72 Calculator

Here is a handy little GCF Calculator that you can use to find the GCF of two numbers 36, 72 i.e. 36 the largest number that divides both the numbers exactly.

Greatest Common Factor of 36 and 72 is 36

GCF(36, 72) = 36

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

GCF of
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### GCF of 36 and 72 using Prime Factorization Method

Given Inputs are 36, 72

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 36 as under

 2 36 2 18 3 9 3 3 1

Prime factors of 36 are 2,3. Prime factorization of 36 in exponential form is:

36 = 22×32

Prime Factorization of 72 is as such

 2 72 2 36 2 18 3 9 3 3 1

Prime factors of 72 are 2,3. Prime factorization of 72 in exponential form is:

72 = 23×32

Occurrences of Common Prime Factors from both the numbers 36 and 72 is 36

Therefore, GCF of two numbers 36 and 72 is 36

### GCF of 36, 72 using Factoring Method

Given input data is 36, 72

Make a list of factors for the corresponding input numbers

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Figure out the highest common factor from factors of both the numbers and that is the GCF. In this case, it is 36

Therefore, GCF of two numbers 36 ad 72 is 36

### Frequently Asked Questions on GCF of 36 and 72

1. What is the GCF of numbers 36 and 72?

GCF of numbers 36 and 72 is 36.

2. How to find GCF of 36 and 72 easily?

Take the help of GCF Calculator existing and input the numbers 36, 72 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 36, 72?

You can find an elaborate explanation on finding GCF of 36, 72 on our page.