LCM Calculator GCF Calculator GCD Calculator LCM of Two or More Numbers Calculator GCF of Two or More Numbers Calculator Factoring Calculator Prime Factorisation Calculator HCF Using Euclid's division lemma Calculator Factor Tree Calculator LCM of Decimals Calculator GCF of Decimals Calculator GCF of Fractions Calculator LCM of Fractions Calculator GCF and LCM Calculator

GCF of 48 and 60 Calculator

Here is a handy little GCF Calculator that you can use to find the GCF of two numbers 48, 60 i.e. 12 the largest number that divides both the numbers exactly.

Greatest Common Factor of 48 and 60 is 12

GCF(48, 60) = 12

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

GCF of
and

GCF of 48 and 60 using Prime Factorization Method

Given Inputs are 48, 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 48 as under


2 48
2 24
2 12
2 6
3 3
1

Prime factors of 48 are 2,3. Prime factorization of 48 in exponential form is:

48 = 24×31

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 48 and 60 is 12

Therefore, GCF of two numbers 48 and 60 is 12

GCF of 48, 60 using Factoring Method

Given input data is 48, 60

Make a list of factors for the corresponding input numbers

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

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 48 ad 60 is 12

Frequently Asked Questions on GCF of 48 and 60

1. What is the GCF of numbers 48 and 60?

GCF of numbers 48 and 60 is 12.

2. How to find GCF of 48 and 60 easily?

Take the help of GCF Calculator existing and input the numbers 48, 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 48, 60?

You can find an elaborate explanation on finding GCF of 48, 60 on our page.