Greatest Common Factor of 2590 and 2597

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 2590, 2597 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 2590 and 2597 is 7.

GCF(2590,2597) = 7

GCF of 2590 and 2597

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

GCF of:
and

Greatest Common Factor of 2590 and 2597

GCF of 2590 and 2597 is 7

Prime Factorization of 2590


2 2590
5 1295
7 259
37 37
1

Prime factors of 2590 are 2,5,7,37. Prime factorization of 2590 in exponential form is:

2590 = 21×51×71×371

Prime Factorization of 2597


7 2597
7 371
53 53
1

Prime factors of 2597 are 7,53. Prime factorization of 2597 in exponential form is:

2597 = 72×531

∴ So by taking common prime factors GCF of 2590 and 2597 is 7

Greatest Common Factor of 2590 and 2597 by matching factors method

Factors of 2590

List of positive integer factors of 2590 that divides 2590 without a remainder.

1,2,5,7,10,14,35,37,70,74,185,259,370,518,1295,2590

Factors of 2597

List of positive integer factors of 2597 that divides 2597 without a remainder.

1,7,49,53,371,2597

Greatest Common Factor

We found the factors and prime factorization of 2590 and 2597. The biggest common factor number is the GCF number.
So the greatest common factor 2590 and 2597 is 7.

Also check out the Least Common Multiple of 2590 and 2597

Properties of GCF 2590 and 2597

(i) The GCF of 2590 and 2597 is associative

GCF of 2590 and 2597 = GCF of 2597 and 2590

Related Greatest Common Factor of 2590

Related Greatest Common Factor of 2597

Frequently Asked Questions on GCF of 2590 and 2597

1. What is the GCF of 2590 and 2597?

Answer: GCF of 2590 and 2597 is 7.

2. What are the Factors of 2590?

Answer: Factors of 2590 are 1, 2, 5, 7, 10, 14, 35, 37, 70, 74, 185, 259, 370, 518, 1295, 2590. There are 16 integers that are factors of 2590. The greatest factor of 2590 is 2590.

3. What are the Factors of 2597?

Answer: Factors of 2597 are 1, 7, 49, 53, 371, 2597. There are 6 integers that are factors of 2597. The greatest factor of 2597 is 2597.

4. How to Find the GCF of 2590 and 2597?

Answer:

Greatest Common Factor of 2590 and 2597 = 7

Step 1: Find the prime factorization of 2590

2590 = 2 x 5 x 7 x 37

Step 2: Find the prime factorization of 2597

2597 = 7 x 7 x 53

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

GCF = 7

Step 4: Therefore, the greatest common factor of 2590 and 2597 is 7