Greatest Common Factor of 3591 and 3597

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 3591, 3597 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 3591 and 3597 is 3.

GCF(3591,3597) = 3

GCF of 3591 and 3597

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

GCF of:
and

Greatest Common Factor of 3591 and 3597

GCF of 3591 and 3597 is 3

Prime Factorization of 3591


3 3591
3 1197
3 399
7 133
19 19
1

Prime factors of 3591 are 3,7,19. Prime factorization of 3591 in exponential form is:

3591 = 33×71×191

Prime Factorization of 3597


3 3597
11 1199
109 109
1

Prime factors of 3597 are 3,11,109. Prime factorization of 3597 in exponential form is:

3597 = 31×111×1091

∴ So by taking common prime factors GCF of 3591 and 3597 is 3

Greatest Common Factor of 3591 and 3597 by matching factors method

Factors of 3591

List of positive integer factors of 3591 that divides 3591 without a remainder.

1,3,7,9,19,21,27,57,63,133,171,189,399,513,1197,3591

Factors of 3597

List of positive integer factors of 3597 that divides 3597 without a remainder.

1,3,11,33,109,327,1199,3597

Greatest Common Factor

We found the factors and prime factorization of 3591 and 3597. The biggest common factor number is the GCF number.
So the greatest common factor 3591 and 3597 is 3.

Also check out the Least Common Multiple of 3591 and 3597

Properties of GCF 3591 and 3597

(i) The GCF of 3591 and 3597 is associative

GCF of 3591 and 3597 = GCF of 3597 and 3591

Related Greatest Common Factor of 3591

Related Greatest Common Factor of 3597

Frequently Asked Questions on GCF of 3591 and 3597

1. What is the GCF of 3591 and 3597?

Answer: GCF of 3591 and 3597 is 3.

2. What are the Factors of 3591?

Answer: Factors of 3591 are 1, 3, 7, 9, 19, 21, 27, 57, 63, 133, 171, 189, 399, 513, 1197, 3591. There are 16 integers that are factors of 3591. The greatest factor of 3591 is 3591.

3. What are the Factors of 3597?

Answer: Factors of 3597 are 1, 3, 11, 33, 109, 327, 1199, 3597. There are 8 integers that are factors of 3597. The greatest factor of 3597 is 3597.

4. How to Find the GCF of 3591 and 3597?

Answer:

Greatest Common Factor of 3591 and 3597 = 3

Step 1: Find the prime factorization of 3591

3591 = 3 x 3 x 3 x 7 x 19

Step 2: Find the prime factorization of 3597

3597 = 3 x 11 x 109

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 3591 and 3597 is 3