Greatest Common Factor of 972, 5814

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 972, 5814 i.e. 18 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 972, 5814 is 18.

GCF(972, 5814) = 18

GCF of 972, 5814

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

GCF of:

Greatest Common Factor of 972,5814

GCF of 972,5814 is 18

2 972, 5814
3 486, 2907
3 162, 969
54, 323

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

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

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Factors of 5814

List of positive integer factors of 5814 that divides 5814 without a remainder.

1,2,3,6,9,17,18,19,34,38,51,57,102,114,153,171,306,323,342,646,969,1938,2907,5814

Greatest Common Factor

We found the factors 972,5814 . The biggest common factor number is the GCF number.
So the greatest common factor 972,5814 is 18.

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 972, 5814

1. What is the GCF of 972, 5814?

Answer: GCF of 972, 5814 is 18.

2. How to Find the GCF of 972, 5814

Answer: Greatest Common Factor(GCF) of 972, 5814 = 18

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

Step 2: Then multiply all the prime factors GCF(972, 5814) = 18.