# GCF of 24 and 60 Calculator

Here is a handy little GCF Calculator that you can use to find the GCF of two numbers 24, 60 i.e. 12 the largest number that divides both the numbers exactly.

Greatest Common Factor of 24 and 60 is 12

GCF(24, 60) = 12

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

GCF of
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### GCF of 24 and 60 using Prime Factorization Method

Given Inputs are 24, 60

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 24 as under

 2 24 2 12 2 6 3 3 1

Prime factors of 24 are 2,3. Prime factorization of 24 in exponential form is:

24 = 23×31

Prime Factorization of 60 is as such

 2 60 2 30 3 15 5 5 1

Prime factors of 60 are 2,3,5. Prime factorization of 60 in exponential form is:

60 = 22×31×51

Occurrences of Common Prime Factors from both the numbers 24 and 60 is 12

Therefore, GCF of two numbers 24 and 60 is 12

### GCF of 24, 60 using Factoring Method

Given input data is 24, 60

Make a list of factors for the corresponding input numbers

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Figure out the highest common factor from factors of both the numbers and that is the GCF. In this case, it is 12

Therefore, GCF of two numbers 24 ad 60 is 12

### Frequently Asked Questions on GCF of 24 and 60

1. What is the GCF of numbers 24 and 60?

GCF of numbers 24 and 60 is 12.

2. How to find GCF of 24 and 60 easily?

Take the help of GCF Calculator existing and input the numbers 24, 60 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 24, 60?

You can find an elaborate explanation on finding GCF of 24, 60 on our page.