Greatest Common Factor of 72, 48, 456

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, 48, 456 i.e. 24 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 72, 48, 456 is 24.

GCF(72, 48, 456) = 24

GCF of 72, 48, 456

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

GCF of:

Greatest Common Factor of 72,48,456

GCF of 72,48,456 is 24

2 72, 48, 456
2 36, 24, 228
2 18, 12, 114
3 9, 6, 57
3, 2, 19

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

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 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Greatest Common Factor

We found the factors 72,48,456 . The biggest common factor number is the GCF number.
So the greatest common factor 72,48,456 is 24.

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, 48, 456

1. What is the GCF of 72, 48, 456?

Answer: GCF of 72, 48, 456 is 24.

2. How to Find the GCF of 72, 48, 456

Answer: Greatest Common Factor(GCF) of 72, 48, 456 = 24

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

Step 2: Then multiply all the prime factors GCF(72, 48, 456) = 24.