Greatest Common Factor of 180, 216, 288

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 180, 216, 288 i.e. 36 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 180, 216, 288 is 36.

GCF(180, 216, 288) = 36

GCF of 180, 216, 288

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

GCF of:

Greatest Common Factor of 180,216,288

GCF of 180,216,288 is 36

2 180, 216, 288
2 90, 108, 144
3 45, 54, 72
3 15, 18, 24
5, 6, 8

∴ 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 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 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Greatest Common Factor

We found the factors 180,216,288 . The biggest common factor number is the GCF number.
So the greatest common factor 180,216,288 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 180, 216, 288

1. What is the GCF of 180, 216, 288?

Answer: GCF of 180, 216, 288 is 36.

2. How to Find the GCF of 180, 216, 288

Answer: Greatest Common Factor(GCF) of 180, 216, 288 = 36

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

Step 2: Then multiply all the prime factors GCF(180, 216, 288) = 36.