Greatest Common Factor of 8937 and 8943

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 8937, 8943 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8937 and 8943 is 3.

GCF(8937,8943) = 3

GCF of 8937 and 8943

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

GCF of:
and

Greatest Common Factor of 8937 and 8943

GCF of 8937 and 8943 is 3

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

Prime Factorization of 8943


3 8943
11 2981
271 271
1

Prime factors of 8943 are 3,11,271. Prime factorization of 8943 in exponential form is:

8943 = 31×111×2711

∴ So by taking common prime factors GCF of 8937 and 8943 is 3

Greatest Common Factor of 8937 and 8943 by matching factors method

Factors of 8937

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

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

Factors of 8943

List of positive integer factors of 8943 that divides 8943 without a remainder.

1,3,11,33,271,813,2981,8943

Greatest Common Factor

We found the factors and prime factorization of 8937 and 8943. The biggest common factor number is the GCF number.
So the greatest common factor 8937 and 8943 is 3.

Also check out the Least Common Multiple of 8937 and 8943

Properties of GCF 8937 and 8943

(i) The GCF of 8937 and 8943 is associative

GCF of 8937 and 8943 = GCF of 8943 and 8937

Related Greatest Common Factor of 8937

Related Greatest Common Factor of 8943

Frequently Asked Questions on GCF of 8937 and 8943

1. What is the GCF of 8937 and 8943?

Answer: GCF of 8937 and 8943 is 3.

2. 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.

3. What are the Factors of 8943?

Answer: Factors of 8943 are 1, 3, 11, 33, 271, 813, 2981, 8943. There are 8 integers that are factors of 8943. The greatest factor of 8943 is 8943.

4. How to Find the GCF of 8937 and 8943?

Answer:

Greatest Common Factor of 8937 and 8943 = 3

Step 1: Find the prime factorization of 8937

8937 = 3 x 3 x 3 x 331

Step 2: Find the prime factorization of 8943

8943 = 3 x 11 x 271

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 8937 and 8943 is 3