Greatest Common Factor of 585 and 592

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

Greatest common factor (GCF) of 585 and 592 is 1.

GCF(585,592) = 1

GCF of 585 and 592

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

GCF of:
and

Greatest Common Factor of 585 and 592

GCF of 585 and 592 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 592


2 592
2 296
2 148
2 74
37 37
1

Prime factors of 592 are 2,37. Prime factorization of 592 in exponential form is:

592 = 24×371

∴ So by taking common prime factors GCF of 585 and 592 is 1

Greatest Common Factor of 585 and 592 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 592

List of positive integer factors of 592 that divides 592 without a remainder.

1,2,4,8,16,37,74,148,296,592

Greatest Common Factor

We found the factors and prime factorization of 585 and 592. The biggest common factor number is the GCF number.
So the greatest common factor 585 and 592 is 1.

Also check out the Least Common Multiple of 585 and 592

Properties of GCF 585 and 592

(i) The GCF of 585 and 592 is associative

GCF of 585 and 592 = GCF of 592 and 585

Related Greatest Common Factor of 585

Related Greatest Common Factor of 592

Frequently Asked Questions on GCF of 585 and 592

1. What is the GCF of 585 and 592?

Answer: GCF of 585 and 592 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 592?

Answer: Factors of 592 are 1, 2, 4, 8, 16, 37, 74, 148, 296, 592. There are 10 integers that are factors of 592. The greatest factor of 592 is 592.

4. How to Find the GCF of 585 and 592?

Answer:

Greatest Common Factor of 585 and 592 = 1

Step 1: Find the prime factorization of 585

585 = 3 x 3 x 5 x 13

Step 2: Find the prime factorization of 592

592 = 2 x 2 x 2 x 2 x 37

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 592 is 1