Greatest Common Factor of 756, 7344

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 756, 7344 i.e. 108 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 756, 7344 is 108.

GCF(756, 7344) = 108

GCF of 756, 7344

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

GCF of:

Greatest Common Factor of 756,7344

GCF of 756,7344 is 108

2 756, 7344
2 378, 3672
3 189, 1836
3 63, 612
3 21, 204
7, 68

∴ So the GCF of the given numbers is 2 x 2 x 3 x 3 x 3 = 108

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

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

Factors of 7344

List of positive integer factors of 7344 that divides 7344 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,27,34,36,48,51,54,68,72,102,108,136,144,153,204,216,272,306,408,432,459,612,816,918,1224,1836,2448,3672,7344

Greatest Common Factor

We found the factors 756,7344 . The biggest common factor number is the GCF number.
So the greatest common factor 756,7344 is 108.

GCF of two or more Numbers Calculation Examples

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Frequently Asked Questions on GCF of 756, 7344

1. What is the GCF of 756, 7344?

Answer: GCF of 756, 7344 is 108.

2. How to Find the GCF of 756, 7344

Answer: Greatest Common Factor(GCF) of 756, 7344 = 108

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

Step 2: Then multiply all the prime factors GCF(756, 7344) = 108.