Greatest Common Factor of 30, 60, 75, 120

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 30, 60, 75, 120 i.e. 15 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 30, 60, 75, 120 is 15.

GCF(30, 60, 75, 120) = 15

GCF of 30, 60, 75, 120

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

GCF of:

Greatest Common Factor of 30,60,75,120

GCF of 30,60,75,120 is 15

3 30, 60, 75, 120
5 10, 20, 25, 40
2, 4, 5, 8

∴ So the GCF of the given numbers is 3 x 5 = 15

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

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

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

Greatest Common Factor

We found the factors 30,60,75,120 . The biggest common factor number is the GCF number.
So the greatest common factor 30,60,75,120 is 15.

GCF of two or more Numbers Calculation Examples

Frequently Asked Questions on GCF of 30, 60, 75, 120

1. What is the GCF of 30, 60, 75, 120?

Answer: GCF of 30, 60, 75, 120 is 15.

2. How to Find the GCF of 30, 60, 75, 120

Answer: Greatest Common Factor(GCF) of 30, 60, 75, 120 = 15

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

Step 2: Then multiply all the prime factors GCF(30, 60, 75, 120) = 15.