# GCF of 66 and 28 Calculator

Here is a handy little GCF Calculator that you can use to find the GCF of two numbers 66, 28 i.e. 2 the largest number that divides both the numbers exactly.

Greatest Common Factor of 66 and 28 is 2

GCF(66, 28) = 2

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

GCF of
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### GCF of 66 and 28 using Prime Factorization Method

Given Inputs are 66, 28

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 66 as under

 2 66 3 33 11 11 1

Prime factors of 66 are 2,3,11. Prime factorization of 66 in exponential form is:

66 = 21×31×111

Prime Factorization of 28 is as such

 2 28 2 14 7 7 1

Prime factors of 28 are 2,7. Prime factorization of 28 in exponential form is:

28 = 22×71

Occurrences of Common Prime Factors from both the numbers 66 and 28 is 2

Therefore, GCF of two numbers 66 and 28 is 2

### GCF of 66, 28 using Factoring Method

Given input data is 66, 28

Make a list of factors for the corresponding input numbers

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Figure out the highest common factor from factors of both the numbers and that is the GCF. In this case, it is 2

Therefore, GCF of two numbers 66 ad 28 is 2

### Frequently Asked Questions on GCF of 66 and 28

1. What is the GCF of numbers 66 and 28?

GCF of numbers 66 and 28 is 2.

2. How to find GCF of 66 and 28 easily?

Take the help of GCF Calculator existing and input the numbers 66, 28 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 66, 28?

You can find an elaborate explanation on finding GCF of 66, 28 on our page.