Greatest Common Factor of 6939 and 6945

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 6939, 6945 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6939 and 6945 is 3.

GCF(6939,6945) = 3

GCF of 6939 and 6945

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

GCF of:
and

Greatest Common Factor of 6939 and 6945

GCF of 6939 and 6945 is 3

Prime Factorization of 6939


3 6939
3 2313
3 771
257 257
1

Prime factors of 6939 are 3,257. Prime factorization of 6939 in exponential form is:

6939 = 33×2571

Prime Factorization of 6945


3 6945
5 2315
463 463
1

Prime factors of 6945 are 3,5,463. Prime factorization of 6945 in exponential form is:

6945 = 31×51×4631

∴ So by taking common prime factors GCF of 6939 and 6945 is 3

Greatest Common Factor of 6939 and 6945 by matching factors method

Factors of 6939

List of positive integer factors of 6939 that divides 6939 without a remainder.

1,3,9,27,257,771,2313,6939

Factors of 6945

List of positive integer factors of 6945 that divides 6945 without a remainder.

1,3,5,15,463,1389,2315,6945

Greatest Common Factor

We found the factors and prime factorization of 6939 and 6945. The biggest common factor number is the GCF number.
So the greatest common factor 6939 and 6945 is 3.

Also check out the Least Common Multiple of 6939 and 6945

Properties of GCF 6939 and 6945

(i) The GCF of 6939 and 6945 is associative

GCF of 6939 and 6945 = GCF of 6945 and 6939

Related Greatest Common Factor of 6939

Related Greatest Common Factor of 6945

Frequently Asked Questions on GCF of 6939 and 6945

1. What is the GCF of 6939 and 6945?

Answer: GCF of 6939 and 6945 is 3.

2. What are the Factors of 6939?

Answer: Factors of 6939 are 1, 3, 9, 27, 257, 771, 2313, 6939. There are 8 integers that are factors of 6939. The greatest factor of 6939 is 6939.

3. What are the Factors of 6945?

Answer: Factors of 6945 are 1, 3, 5, 15, 463, 1389, 2315, 6945. There are 8 integers that are factors of 6945. The greatest factor of 6945 is 6945.

4. How to Find the GCF of 6939 and 6945?

Answer:

Greatest Common Factor of 6939 and 6945 = 3

Step 1: Find the prime factorization of 6939

6939 = 3 x 3 x 3 x 257

Step 2: Find the prime factorization of 6945

6945 = 3 x 5 x 463

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 6939 and 6945 is 3