Greatest Common Factor of 120, 180, 300

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 120, 180, 300 i.e. 60 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 120, 180, 300 is 60.

GCF(120, 180, 300) = 60

GCF of 120, 180, 300

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

GCF of:

Greatest Common Factor of 120,180,300

GCF of 120,180,300 is 60

2 120, 180, 300
2 60, 90, 150
3 30, 45, 75
5 10, 15, 25
2, 3, 5

∴ So the GCF of the given numbers is 2 x 2 x 3 x 5 = 60

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

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

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 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 120,180,300 . The biggest common factor number is the GCF number.
So the greatest common factor 120,180,300 is 60.

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 120, 180, 300

1. What is the GCF of 120, 180, 300?

Answer: GCF of 120, 180, 300 is 60.

2. How to Find the GCF of 120, 180, 300

Answer: Greatest Common Factor(GCF) of 120, 180, 300 = 60

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

Step 2: Then multiply all the prime factors GCF(120, 180, 300) = 60.