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GCF of 36 and 44 Calculator

Here is a handy little GCF Calculator that you can use to find the GCF of two numbers 36, 44 i.e. 4 the largest number that divides both the numbers exactly.

Greatest Common Factor of 36 and 44 is 4

GCF(36, 44) = 4

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

GCF of
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GCF of 36 and 44 using Prime Factorization Method

Given Inputs are 36, 44

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 44 is as such


2 44
2 22
11 11
1

Prime factors of 44 are 2,11. Prime factorization of 44 in exponential form is:

44 = 22×111

Occurrences of Common Prime Factors from both the numbers 36 and 44 is 4

Therefore, GCF of two numbers 36 and 44 is 4

GCF of 36, 44 using Factoring Method

Given input data is 36, 44

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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Figure out the highest common factor from factors of both the numbers and that is the GCF. In this case, it is 4

Therefore, GCF of two numbers 36 ad 44 is 4

Frequently Asked Questions on GCF of 36 and 44

1. What is the GCF of numbers 36 and 44?

GCF of numbers 36 and 44 is 4.

2. How to find GCF of 36 and 44 easily?

Take the help of GCF Calculator existing and input the numbers 36, 44 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, 44?

You can find an elaborate explanation on finding GCF of 36, 44 on our page.