Greatest Common Factor of 675, 900

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 675, 900 i.e. 225 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 675, 900 is 225.

GCF(675, 900) = 225

GCF of 675, 900

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

GCF of:

Greatest Common Factor of 675,900

GCF of 675,900 is 225

3 675, 900
3 225, 300
5 75, 100
5 15, 20
3, 4

∴ So the GCF of the given numbers is 3 x 3 x 5 x 5 = 225

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

Factors of 675

List of positive integer factors of 675 that divides 675 without a remainder.

1,3,5,9,15,25,27,45,75,135,225,675

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 675,900 . The biggest common factor number is the GCF number.
So the greatest common factor 675,900 is 225.

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 675, 900

1. What is the GCF of 675, 900?

Answer: GCF of 675, 900 is 225.

2. How to Find the GCF of 675, 900

Answer: Greatest Common Factor(GCF) of 675, 900 = 225

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

Step 2: Then multiply all the prime factors GCF(675, 900) = 225.