Greatest Common Factor of 7590 and 7598

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 7590, 7598 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 7590 and 7598 is 2.

GCF(7590,7598) = 2

GCF of 7590 and 7598

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

GCF of:
and

Greatest Common Factor of 7590 and 7598

GCF of 7590 and 7598 is 2

Prime Factorization of 7590


2 7590
3 3795
5 1265
11 253
23 23
1

Prime factors of 7590 are 2,3,5,11,23. Prime factorization of 7590 in exponential form is:

7590 = 21×31×51×111×231

Prime Factorization of 7598


2 7598
29 3799
131 131
1

Prime factors of 7598 are 2,29,131. Prime factorization of 7598 in exponential form is:

7598 = 21×291×1311

∴ So by taking common prime factors GCF of 7590 and 7598 is 2

Greatest Common Factor of 7590 and 7598 by matching factors method

Factors of 7590

List of positive integer factors of 7590 that divides 7590 without a remainder.

1,2,3,5,6,10,11,15,22,23,30,33,46,55,66,69,110,115,138,165,230,253,330,345,506,690,759,1265,1518,2530,3795,7590

Factors of 7598

List of positive integer factors of 7598 that divides 7598 without a remainder.

1,2,29,58,131,262,3799,7598

Greatest Common Factor

We found the factors and prime factorization of 7590 and 7598. The biggest common factor number is the GCF number.
So the greatest common factor 7590 and 7598 is 2.

Also check out the Least Common Multiple of 7590 and 7598

Properties of GCF 7590 and 7598

(i) The GCF of 7590 and 7598 is associative

GCF of 7590 and 7598 = GCF of 7598 and 7590

Related Greatest Common Factor of 7590

Related Greatest Common Factor of 7598

Frequently Asked Questions on GCF of 7590 and 7598

1. What is the GCF of 7590 and 7598?

Answer: GCF of 7590 and 7598 is 2.

2. What are the Factors of 7590?

Answer: Factors of 7590 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 23, 30, 33, 46, 55, 66, 69, 110, 115, 138, 165, 230, 253, 330, 345, 506, 690, 759, 1265, 1518, 2530, 3795, 7590. There are 32 integers that are factors of 7590. The greatest factor of 7590 is 7590.

3. What are the Factors of 7598?

Answer: Factors of 7598 are 1, 2, 29, 58, 131, 262, 3799, 7598. There are 8 integers that are factors of 7598. The greatest factor of 7598 is 7598.

4. How to Find the GCF of 7590 and 7598?

Answer:

Greatest Common Factor of 7590 and 7598 = 2

Step 1: Find the prime factorization of 7590

7590 = 2 x 3 x 5 x 11 x 23

Step 2: Find the prime factorization of 7598

7598 = 2 x 29 x 131

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 7590 and 7598 is 2