Greatest Common Factor of 8931 and 8937

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 8931, 8937 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8931 and 8937 is 3.

GCF(8931,8937) = 3

GCF of 8931 and 8937

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

GCF of:
and

Greatest Common Factor of 8931 and 8937

GCF of 8931 and 8937 is 3

Prime Factorization of 8931


3 8931
13 2977
229 229
1

Prime factors of 8931 are 3,13,229. Prime factorization of 8931 in exponential form is:

8931 = 31×131×2291

Prime Factorization of 8937


3 8937
3 2979
3 993
331 331
1

Prime factors of 8937 are 3,331. Prime factorization of 8937 in exponential form is:

8937 = 33×3311

∴ So by taking common prime factors GCF of 8931 and 8937 is 3

Greatest Common Factor of 8931 and 8937 by matching factors method

Factors of 8931

List of positive integer factors of 8931 that divides 8931 without a remainder.

1,3,13,39,229,687,2977,8931

Factors of 8937

List of positive integer factors of 8937 that divides 8937 without a remainder.

1,3,9,27,331,993,2979,8937

Greatest Common Factor

We found the factors and prime factorization of 8931 and 8937. The biggest common factor number is the GCF number.
So the greatest common factor 8931 and 8937 is 3.

Also check out the Least Common Multiple of 8931 and 8937

Properties of GCF 8931 and 8937

(i) The GCF of 8931 and 8937 is associative

GCF of 8931 and 8937 = GCF of 8937 and 8931

Related Greatest Common Factor of 8931

Related Greatest Common Factor of 8937

Frequently Asked Questions on GCF of 8931 and 8937

1. What is the GCF of 8931 and 8937?

Answer: GCF of 8931 and 8937 is 3.

2. What are the Factors of 8931?

Answer: Factors of 8931 are 1, 3, 13, 39, 229, 687, 2977, 8931. There are 8 integers that are factors of 8931. The greatest factor of 8931 is 8931.

3. What are the Factors of 8937?

Answer: Factors of 8937 are 1, 3, 9, 27, 331, 993, 2979, 8937. There are 8 integers that are factors of 8937. The greatest factor of 8937 is 8937.

4. How to Find the GCF of 8931 and 8937?

Answer:

Greatest Common Factor of 8931 and 8937 = 3

Step 1: Find the prime factorization of 8931

8931 = 3 x 13 x 229

Step 2: Find the prime factorization of 8937

8937 = 3 x 3 x 3 x 331

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 8931 and 8937 is 3