Greatest Common Factor of 12, 30, 21, 105

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 12, 30, 21, 105 i.e. 3 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 12, 30, 21, 105 is 3.

GCF(12, 30, 21, 105) = 3

GCF of 12, 30, 21, 105

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

GCF of:

Greatest Common Factor of 12,30,21,105

GCF of 12,30,21,105 is 3

3 12, 30, 21, 105
4, 10, 7, 35

∴ So the GCF of the given numbers is 3 = 3

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

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

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 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Greatest Common Factor

We found the factors 12,30,21,105 . The biggest common factor number is the GCF number.
So the greatest common factor 12,30,21,105 is 3.

GCF of two or more Numbers Calculation Examples

Frequently Asked Questions on GCF of 12, 30, 21, 105

1. What is the GCF of 12, 30, 21, 105?

Answer: GCF of 12, 30, 21, 105 is 3.

2. How to Find the GCF of 12, 30, 21, 105

Answer: Greatest Common Factor(GCF) of 12, 30, 21, 105 = 3

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

Step 2: Then multiply all the prime factors GCF(12, 30, 21, 105) = 3.