Greatest Common Factor of 900, 585, 171

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 900, 585, 171 i.e. 9 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 900, 585, 171 is 9.

GCF(900, 585, 171) = 9

GCF of 900, 585, 171

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

GCF of:

Greatest Common Factor of 900,585,171

GCF of 900,585,171 is 9

3 900, 585, 171
3 300, 195, 57
100, 65, 19

∴ So the GCF of the given numbers is 3 x 3 = 9

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

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

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 900,585,171 . The biggest common factor number is the GCF number.
So the greatest common factor 900,585,171 is 9.

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 900, 585, 171

1. What is the GCF of 900, 585, 171?

Answer: GCF of 900, 585, 171 is 9.

2. How to Find the GCF of 900, 585, 171

Answer: Greatest Common Factor(GCF) of 900, 585, 171 = 9

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

Step 2: Then multiply all the prime factors GCF(900, 585, 171) = 9.