Greatest Common Factor of 9591 and 9597

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 9591, 9597 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 9591 and 9597 is 3.

GCF(9591,9597) = 3

GCF of 9591 and 9597

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

GCF of:
and

Greatest Common Factor of 9591 and 9597

GCF of 9591 and 9597 is 3

Prime Factorization of 9591


3 9591
23 3197
139 139
1

Prime factors of 9591 are 3,23,139. Prime factorization of 9591 in exponential form is:

9591 = 31×231×1391

Prime Factorization of 9597


3 9597
7 3199
457 457
1

Prime factors of 9597 are 3,7,457. Prime factorization of 9597 in exponential form is:

9597 = 31×71×4571

∴ So by taking common prime factors GCF of 9591 and 9597 is 3

Greatest Common Factor of 9591 and 9597 by matching factors method

Factors of 9591

List of positive integer factors of 9591 that divides 9591 without a remainder.

1,3,23,69,139,417,3197,9591

Factors of 9597

List of positive integer factors of 9597 that divides 9597 without a remainder.

1,3,7,21,457,1371,3199,9597

Greatest Common Factor

We found the factors and prime factorization of 9591 and 9597. The biggest common factor number is the GCF number.
So the greatest common factor 9591 and 9597 is 3.

Also check out the Least Common Multiple of 9591 and 9597

Properties of GCF 9591 and 9597

(i) The GCF of 9591 and 9597 is associative

GCF of 9591 and 9597 = GCF of 9597 and 9591

Related Greatest Common Factor of 9591

Related Greatest Common Factor of 9597

Frequently Asked Questions on GCF of 9591 and 9597

1. What is the GCF of 9591 and 9597?

Answer: GCF of 9591 and 9597 is 3.

2. What are the Factors of 9591?

Answer: Factors of 9591 are 1, 3, 23, 69, 139, 417, 3197, 9591. There are 8 integers that are factors of 9591. The greatest factor of 9591 is 9591.

3. What are the Factors of 9597?

Answer: Factors of 9597 are 1, 3, 7, 21, 457, 1371, 3199, 9597. There are 8 integers that are factors of 9597. The greatest factor of 9597 is 9597.

4. How to Find the GCF of 9591 and 9597?

Answer:

Greatest Common Factor of 9591 and 9597 = 3

Step 1: Find the prime factorization of 9591

9591 = 3 x 23 x 139

Step 2: Find the prime factorization of 9597

9597 = 3 x 7 x 457

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

GCF = 3

Step 4: Therefore, the greatest common factor of 9591 and 9597 is 3