Greatest Common Factor of 580 and 585

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 580, 585 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 580 and 585 is 5.

GCF(580,585) = 5

GCF of 580 and 585

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

GCF of:
and

Greatest Common Factor of 580 and 585

GCF of 580 and 585 is 5

Prime Factorization of 580


2 580
2 290
5 145
29 29
1

Prime factors of 580 are 2,5,29. Prime factorization of 580 in exponential form is:

580 = 22×51×291

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

∴ So by taking common prime factors GCF of 580 and 585 is 5

Greatest Common Factor of 580 and 585 by matching factors method

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

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

Greatest Common Factor

We found the factors and prime factorization of 580 and 585. The biggest common factor number is the GCF number.
So the greatest common factor 580 and 585 is 5.

Also check out the Least Common Multiple of 580 and 585

Properties of GCF 580 and 585

(i) The GCF of 580 and 585 is associative

GCF of 580 and 585 = GCF of 585 and 580

Related Greatest Common Factor of 580

Related Greatest Common Factor of 585

Frequently Asked Questions on GCF of 580 and 585

1. What is the GCF of 580 and 585?

Answer: GCF of 580 and 585 is 5.

2. What are the Factors of 580?

Answer: Factors of 580 are 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580. There are 12 integers that are factors of 580. The greatest factor of 580 is 580.

3. 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.

4. How to Find the GCF of 580 and 585?

Answer:

Greatest Common Factor of 580 and 585 = 5

Step 1: Find the prime factorization of 580

580 = 2 x 2 x 5 x 29

Step 2: Find the prime factorization of 585

585 = 3 x 3 x 5 x 13

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

GCF = 5

Step 4: Therefore, the greatest common factor of 580 and 585 is 5