Greatest Common Factor of 8331 and 8337

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 8331, 8337 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8331 and 8337 is 3.

GCF(8331,8337) = 3

GCF of 8331 and 8337

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

GCF of:
and

Greatest Common Factor of 8331 and 8337

GCF of 8331 and 8337 is 3

Prime Factorization of 8331


3 8331
2777 2777
1

Prime factors of 8331 are 3,2777. Prime factorization of 8331 in exponential form is:

8331 = 31×27771

Prime Factorization of 8337


3 8337
7 2779
397 397
1

Prime factors of 8337 are 3,7,397. Prime factorization of 8337 in exponential form is:

8337 = 31×71×3971

∴ So by taking common prime factors GCF of 8331 and 8337 is 3

Greatest Common Factor of 8331 and 8337 by matching factors method

Factors of 8331

List of positive integer factors of 8331 that divides 8331 without a remainder.

1,3,2777,8331

Factors of 8337

List of positive integer factors of 8337 that divides 8337 without a remainder.

1,3,7,21,397,1191,2779,8337

Greatest Common Factor

We found the factors and prime factorization of 8331 and 8337. The biggest common factor number is the GCF number.
So the greatest common factor 8331 and 8337 is 3.

Also check out the Least Common Multiple of 8331 and 8337

Properties of GCF 8331 and 8337

(i) The GCF of 8331 and 8337 is associative

GCF of 8331 and 8337 = GCF of 8337 and 8331

Related Greatest Common Factor of 8331

Related Greatest Common Factor of 8337

Frequently Asked Questions on GCF of 8331 and 8337

1. What is the GCF of 8331 and 8337?

Answer: GCF of 8331 and 8337 is 3.

2. What are the Factors of 8331?

Answer: Factors of 8331 are 1, 3, 2777, 8331. There are 4 integers that are factors of 8331. The greatest factor of 8331 is 8331.

3. What are the Factors of 8337?

Answer: Factors of 8337 are 1, 3, 7, 21, 397, 1191, 2779, 8337. There are 8 integers that are factors of 8337. The greatest factor of 8337 is 8337.

4. How to Find the GCF of 8331 and 8337?

Answer:

Greatest Common Factor of 8331 and 8337 = 3

Step 1: Find the prime factorization of 8331

8331 = 3 x 2777

Step 2: Find the prime factorization of 8337

8337 = 3 x 7 x 397

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 8331 and 8337 is 3