Greatest Common Factor of 590 and 598

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, 598 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 590 and 598 is 2.

GCF(590,598) = 2

GCF of 590 and 598

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

GCF of:
and

Greatest Common Factor of 590 and 598

GCF of 590 and 598 is 2

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 598


2 598
13 299
23 23
1

Prime factors of 598 are 2,13,23. Prime factorization of 598 in exponential form is:

598 = 21×131×231

∴ So by taking common prime factors GCF of 590 and 598 is 2

Greatest Common Factor of 590 and 598 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 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Greatest Common Factor

We found the factors and prime factorization of 590 and 598. The biggest common factor number is the GCF number.
So the greatest common factor 590 and 598 is 2.

Also check out the Least Common Multiple of 590 and 598

Properties of GCF 590 and 598

(i) The GCF of 590 and 598 is associative

GCF of 590 and 598 = GCF of 598 and 590

Related Greatest Common Factor of 590

Related Greatest Common Factor of 598

Frequently Asked Questions on GCF of 590 and 598

1. What is the GCF of 590 and 598?

Answer: GCF of 590 and 598 is 2.

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 598?

Answer: Factors of 598 are 1, 2, 13, 23, 26, 46, 299, 598. There are 8 integers that are factors of 598. The greatest factor of 598 is 598.

4. How to Find the GCF of 590 and 598?

Answer:

Greatest Common Factor of 590 and 598 = 2

Step 1: Find the prime factorization of 590

590 = 2 x 5 x 59

Step 2: Find the prime factorization of 598

598 = 2 x 13 x 23

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

GCF = 2

Step 4: Therefore, the greatest common factor of 590 and 598 is 2