Greatest Common Factor of 54, 72, 252

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 54, 72, 252 i.e. 18 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 54, 72, 252 is 18.

GCF(54, 72, 252) = 18

GCF of 54, 72, 252

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

GCF of:

Greatest Common Factor of 54,72,252

GCF of 54,72,252 is 18

2 54, 72, 252
3 27, 36, 126
3 9, 12, 42
3, 4, 14

∴ 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 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

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

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 54,72,252 . The biggest common factor number is the GCF number.
So the greatest common factor 54,72,252 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 54, 72, 252

1. What is the GCF of 54, 72, 252?

Answer: GCF of 54, 72, 252 is 18.

2. How to Find the GCF of 54, 72, 252

Answer: Greatest Common Factor(GCF) of 54, 72, 252 = 18

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

Step 2: Then multiply all the prime factors GCF(54, 72, 252) = 18.