Greatest Common Factor of 144, 756

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of two or more numbers Calculator allows you to quickly calculate the GCF of 144, 756 i.e. 36 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 144, 756 is 36.

GCF(144, 756) = 36

GCF of 144, 756

Greatest common factor or Greatest common divisor (GCD) can be calculated in two ways

GCF of:

Greatest Common Factor of 144,756

GCF of 144,756 is 36

2 144, 756
2 72, 378
3 36, 189
3 12, 63
4, 21

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 = 36

Greatest Common Factor (GCF) By Matching Biggest Common Factor Method

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 144,756 . The biggest common factor number is the GCF number.
So the greatest common factor 144,756 is 36.

GCF of two or more Numbers Calculation Examples

Here are some samples of GCF of two or more Numbers calculations.

Frequently Asked Questions on GCF of 144, 756

1. What is the GCF of 144, 756?

Answer: GCF of 144, 756 is 36.

2. How to Find the GCF of 144, 756

Answer: Greatest Common Factor(GCF) of 144, 756 = 36

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors GCF(144, 756) = 36.