Greatest Common Factor of 9590 and 9598

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 9590, 9598 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9590 and 9598 is 2.

GCF(9590,9598) = 2

GCF of 9590 and 9598

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

GCF of:
and

Greatest Common Factor of 9590 and 9598

GCF of 9590 and 9598 is 2

Prime Factorization of 9590


2 9590
5 4795
7 959
137 137
1

Prime factors of 9590 are 2,5,7,137. Prime factorization of 9590 in exponential form is:

9590 = 21×51×71×1371

Prime Factorization of 9598


2 9598
4799 4799
1

Prime factors of 9598 are 2,4799. Prime factorization of 9598 in exponential form is:

9598 = 21×47991

∴ So by taking common prime factors GCF of 9590 and 9598 is 2

Greatest Common Factor of 9590 and 9598 by matching factors method

Factors of 9590

List of positive integer factors of 9590 that divides 9590 without a remainder.

1,2,5,7,10,14,35,70,137,274,685,959,1370,1918,4795,9590

Factors of 9598

List of positive integer factors of 9598 that divides 9598 without a remainder.

1,2,4799,9598

Greatest Common Factor

We found the factors and prime factorization of 9590 and 9598. The biggest common factor number is the GCF number.
So the greatest common factor 9590 and 9598 is 2.

Also check out the Least Common Multiple of 9590 and 9598

Properties of GCF 9590 and 9598

(i) The GCF of 9590 and 9598 is associative

GCF of 9590 and 9598 = GCF of 9598 and 9590

Related Greatest Common Factor of 9590

Related Greatest Common Factor of 9598

Frequently Asked Questions on GCF of 9590 and 9598

1. What is the GCF of 9590 and 9598?

Answer: GCF of 9590 and 9598 is 2.

2. What are the Factors of 9590?

Answer: Factors of 9590 are 1, 2, 5, 7, 10, 14, 35, 70, 137, 274, 685, 959, 1370, 1918, 4795, 9590. There are 16 integers that are factors of 9590. The greatest factor of 9590 is 9590.

3. What are the Factors of 9598?

Answer: Factors of 9598 are 1, 2, 4799, 9598. There are 4 integers that are factors of 9598. The greatest factor of 9598 is 9598.

4. How to Find the GCF of 9590 and 9598?

Answer:

Greatest Common Factor of 9590 and 9598 = 2

Step 1: Find the prime factorization of 9590

9590 = 2 x 5 x 7 x 137

Step 2: Find the prime factorization of 9598

9598 = 2 x 4799

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 9590 and 9598 is 2