Greatest Common Factor of 590 and 595

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 590, 595 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 590 and 595 is 5.

GCF(590,595) = 5

GCF of 590 and 595

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

GCF of:
and

Greatest Common Factor of 590 and 595

GCF of 590 and 595 is 5

Prime Factorization of 590


2 590
5 295
59 59
1

Prime factors of 590 are 2,5,59. Prime factorization of 590 in exponential form is:

590 = 21×51×591

Prime Factorization of 595


5 595
7 119
17 17
1

Prime factors of 595 are 5,7,17. Prime factorization of 595 in exponential form is:

595 = 51×71×171

∴ So by taking common prime factors GCF of 590 and 595 is 5

Greatest Common Factor of 590 and 595 by matching factors method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors and prime factorization of 590 and 595. The biggest common factor number is the GCF number.
So the greatest common factor 590 and 595 is 5.

Also check out the Least Common Multiple of 590 and 595

Properties of GCF 590 and 595

(i) The GCF of 590 and 595 is associative

GCF of 590 and 595 = GCF of 595 and 590

Related Greatest Common Factor of 590

Related Greatest Common Factor of 595

Frequently Asked Questions on GCF of 590 and 595

1. What is the GCF of 590 and 595?

Answer: GCF of 590 and 595 is 5.

2. What are the Factors of 590?

Answer: Factors of 590 are 1, 2, 5, 10, 59, 118, 295, 590. There are 8 integers that are factors of 590. The greatest factor of 590 is 590.

3. What are the Factors of 595?

Answer: Factors of 595 are 1, 5, 7, 17, 35, 85, 119, 595. There are 8 integers that are factors of 595. The greatest factor of 595 is 595.

4. How to Find the GCF of 590 and 595?

Answer:

Greatest Common Factor of 590 and 595 = 5

Step 1: Find the prime factorization of 590

590 = 2 x 5 x 59

Step 2: Find the prime factorization of 595

595 = 5 x 7 x 17

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 590 and 595 is 5