Greatest Common Factor of 72, 180, 360

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 72, 180, 360 i.e. 36 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 72, 180, 360 is 36.

GCF(72, 180, 360) = 36

GCF of 72, 180, 360

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

GCF of:

Greatest Common Factor of 72,180,360

GCF of 72,180,360 is 36

2 72, 180, 360
2 36, 90, 180
3 18, 45, 90
3 6, 15, 30
2, 5, 10

∴ 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 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 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Greatest Common Factor

We found the factors 72,180,360 . The biggest common factor number is the GCF number.
So the greatest common factor 72,180,360 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 72, 180, 360

1. What is the GCF of 72, 180, 360?

Answer: GCF of 72, 180, 360 is 36.

2. How to Find the GCF of 72, 180, 360

Answer: Greatest Common Factor(GCF) of 72, 180, 360 = 36

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

Step 2: Then multiply all the prime factors GCF(72, 180, 360) = 36.