Greatest Common Factor of 585 and 589

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, 589 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 585 and 589 is 1.

GCF(585,589) = 1

GCF of 585 and 589

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

GCF of:
and

Greatest Common Factor of 585 and 589

GCF of 585 and 589 is 1

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 589


19 589
31 31
1

Prime factors of 589 are 19,31. Prime factorization of 589 in exponential form is:

589 = 191×311

∴ So by taking common prime factors GCF of 585 and 589 is 1

Greatest Common Factor of 585 and 589 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 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors and prime factorization of 585 and 589. The biggest common factor number is the GCF number.
So the greatest common factor 585 and 589 is 1.

Also check out the Least Common Multiple of 585 and 589

Properties of GCF 585 and 589

(i) The GCF of 585 and 589 is associative

GCF of 585 and 589 = GCF of 589 and 585

Related Greatest Common Factor of 585

Related Greatest Common Factor of 589

Frequently Asked Questions on GCF of 585 and 589

1. What is the GCF of 585 and 589?

Answer: GCF of 585 and 589 is 1.

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 589?

Answer: Factors of 589 are 1, 19, 31, 589. There are 4 integers that are factors of 589. The greatest factor of 589 is 589.

4. How to Find the GCF of 585 and 589?

Answer:

Greatest Common Factor of 585 and 589 = 1

Step 1: Find the prime factorization of 585

585 = 3 x 3 x 5 x 13

Step 2: Find the prime factorization of 589

589 = 19 x 31

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 585 and 589 is 1