Greatest Common Factor of 5331 and 5337

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 5331, 5337 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 5331 and 5337 is 3.

GCF(5331,5337) = 3

GCF of 5331 and 5337

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

GCF of:
and

Greatest Common Factor of 5331 and 5337

GCF of 5331 and 5337 is 3

Prime Factorization of 5331


3 5331
1777 1777
1

Prime factors of 5331 are 3,1777. Prime factorization of 5331 in exponential form is:

5331 = 31×17771

Prime Factorization of 5337


3 5337
3 1779
593 593
1

Prime factors of 5337 are 3,593. Prime factorization of 5337 in exponential form is:

5337 = 32×5931

∴ So by taking common prime factors GCF of 5331 and 5337 is 3

Greatest Common Factor of 5331 and 5337 by matching factors method

Factors of 5331

List of positive integer factors of 5331 that divides 5331 without a remainder.

1,3,1777,5331

Factors of 5337

List of positive integer factors of 5337 that divides 5337 without a remainder.

1,3,9,593,1779,5337

Greatest Common Factor

We found the factors and prime factorization of 5331 and 5337. The biggest common factor number is the GCF number.
So the greatest common factor 5331 and 5337 is 3.

Also check out the Least Common Multiple of 5331 and 5337

Properties of GCF 5331 and 5337

(i) The GCF of 5331 and 5337 is associative

GCF of 5331 and 5337 = GCF of 5337 and 5331

Related Greatest Common Factor of 5331

Related Greatest Common Factor of 5337

Frequently Asked Questions on GCF of 5331 and 5337

1. What is the GCF of 5331 and 5337?

Answer: GCF of 5331 and 5337 is 3.

2. What are the Factors of 5331?

Answer: Factors of 5331 are 1, 3, 1777, 5331. There are 4 integers that are factors of 5331. The greatest factor of 5331 is 5331.

3. What are the Factors of 5337?

Answer: Factors of 5337 are 1, 3, 9, 593, 1779, 5337. There are 6 integers that are factors of 5337. The greatest factor of 5337 is 5337.

4. How to Find the GCF of 5331 and 5337?

Answer:

Greatest Common Factor of 5331 and 5337 = 3

Step 1: Find the prime factorization of 5331

5331 = 3 x 1777

Step 2: Find the prime factorization of 5337

5337 = 3 x 3 x 593

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 5331 and 5337 is 3