Greatest Common Factor of 225, 735

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 225, 735 i.e. 15 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 225, 735 is 15.

GCF(225, 735) = 15

GCF of 225, 735

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

GCF of:

Greatest Common Factor of 225,735

GCF of 225,735 is 15

3 225, 735
5 75, 245
15, 49

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

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

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 225,735 . The biggest common factor number is the GCF number.
So the greatest common factor 225,735 is 15.

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 225, 735

1. What is the GCF of 225, 735?

Answer: GCF of 225, 735 is 15.

2. How to Find the GCF of 225, 735

Answer: Greatest Common Factor(GCF) of 225, 735 = 15

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

Step 2: Then multiply all the prime factors GCF(225, 735) = 15.