Greatest Common Factor of 585 and 591

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 585, 591 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 585 and 591 is 3.

GCF(585,591) = 3

GCF of 585 and 591

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 585 and 591

GCF of 585 and 591 is 3

Prime Factorization of 585


3 585
3 195
5 65
13 13
1

Prime factors of 585 are 3,5,13. Prime factorization of 585 in exponential form is:

585 = 32×51×131

Prime Factorization of 591


3 591
197 197
1

Prime factors of 591 are 3,197. Prime factorization of 591 in exponential form is:

591 = 31×1971

∴ So by taking common prime factors GCF of 585 and 591 is 3

Greatest Common Factor of 585 and 591 by matching factors 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 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Greatest Common Factor

We found the factors and prime factorization of 585 and 591. The biggest common factor number is the GCF number.
So the greatest common factor 585 and 591 is 3.

Also check out the Least Common Multiple of 585 and 591

Properties of GCF 585 and 591

(i) The GCF of 585 and 591 is associative

GCF of 585 and 591 = GCF of 591 and 585

Related Greatest Common Factor of 585

Related Greatest Common Factor of 591

Frequently Asked Questions on GCF of 585 and 591

1. What is the GCF of 585 and 591?

Answer: GCF of 585 and 591 is 3.

2. What are the Factors of 585?

Answer: Factors of 585 are 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585. There are 12 integers that are factors of 585. The greatest factor of 585 is 585.

3. What are the Factors of 591?

Answer: Factors of 591 are 1, 3, 197, 591. There are 4 integers that are factors of 591. The greatest factor of 591 is 591.

4. How to Find the GCF of 585 and 591?

Answer:

Greatest Common Factor of 585 and 591 = 3

Step 1: Find the prime factorization of 585

585 = 3 x 3 x 5 x 13

Step 2: Find the prime factorization of 591

591 = 3 x 197

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 585 and 591 is 3