Greatest Common Factor of 585 and 593

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

Greatest common factor (GCF) of 585 and 593 is 1.

GCF(585,593) = 1

GCF of 585 and 593

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

GCF of:
and

Greatest Common Factor of 585 and 593

GCF of 585 and 593 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 593


593 593
1

Prime factors of 593 are 593. Prime factorization of 593 in exponential form is:

593 = 5931

∴ So by taking common prime factors GCF of 585 and 593 is 1

Greatest Common Factor of 585 and 593 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 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Greatest Common Factor

We found the factors and prime factorization of 585 and 593. The biggest common factor number is the GCF number.
So the greatest common factor 585 and 593 is 1.

Also check out the Least Common Multiple of 585 and 593

Properties of GCF 585 and 593

(i) The GCF of 585 and 593 is associative

GCF of 585 and 593 = GCF of 593 and 585

Related Greatest Common Factor of 585

Related Greatest Common Factor of 593

Frequently Asked Questions on GCF of 585 and 593

1. What is the GCF of 585 and 593?

Answer: GCF of 585 and 593 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 593?

Answer: Factors of 593 are 1, 593. There are 2 integers that are factors of 593. The greatest factor of 593 is 593.

4. How to Find the GCF of 585 and 593?

Answer:

Greatest Common Factor of 585 and 593 = 1

Step 1: Find the prime factorization of 585

585 = 3 x 3 x 5 x 13

Step 2: Find the prime factorization of 593

593 = 593

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 593 is 1