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GCF of 8 and 12 Calculator

Here is a handy little GCF Calculator that you can use to find the GCF of two numbers 8, 12 i.e. 4 the largest number that divides both the numbers exactly.

Greatest Common Factor of 8 and 12 is 4

GCF(8, 12) = 4

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

GCF of
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GCF of 8 and 12 using Prime Factorization Method

Given Inputs are 8, 12

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 8 as under


2 8
2 4
2 2
1

Prime factors of 8 are 2. Prime factorization of 8 in exponential form is:

8 = 23

Prime Factorization of 12 is as such


2 12
2 6
3 3
1

Prime factors of 12 are 2.Prime factorization of 12 in exponential form is:

12 = 22×31

Occurrences of Common Prime Factors from both the numbers 8 and 12 is 4

Therefore, GCF of two numbers 8 and 12 is 4

GCF of 8, 12 using Factoring Method

Given input data is 8, 12

Make a list of factors for the corresponding input numbers

Factors of 8

List of positive integer factors of 8 that divides 8 without a remainder.

1,2,4,8

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

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 8 ad 12 is 4

Frequently Asked Questions on GCF of 8 and 12

1. What is the GCF of numbers 8 and 12?

GCF of numbers 8 and 12 is 4.

2. How to find GCF of 8 and 12 easily?

Take the help of GCF Calculator existing and input the numbers 8, 12 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 8, 12?

You can find an elaborate explanation on finding GCF of 8, 12 on our page.