Greatest Common Factor of 585, 1305

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 585, 1305 i.e. 45 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 585, 1305 is 45.

GCF(585, 1305) = 45

GCF of 585, 1305

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

GCF of:

Greatest Common Factor of 585,1305

GCF of 585,1305 is 45

3 585, 1305
3 195, 435
5 65, 145
13, 29

∴ So the GCF of the given numbers is 3 x 3 x 5 = 45

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

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 1305

List of positive integer factors of 1305 that divides 1305 without a remainder.

1,3,5,9,15,29,45,87,145,261,435,1305

Greatest Common Factor

We found the factors 585,1305 . The biggest common factor number is the GCF number.
So the greatest common factor 585,1305 is 45.

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 585, 1305

1. What is the GCF of 585, 1305?

Answer: GCF of 585, 1305 is 45.

2. How to Find the GCF of 585, 1305

Answer: Greatest Common Factor(GCF) of 585, 1305 = 45

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

Step 2: Then multiply all the prime factors GCF(585, 1305) = 45.