Greatest Common Factor of 6936 and 6939

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 6936, 6939 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6936 and 6939 is 3.

GCF(6936,6939) = 3

GCF of 6936 and 6939

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

GCF of:
and

Greatest Common Factor of 6936 and 6939

GCF of 6936 and 6939 is 3

Prime Factorization of 6936


2 6936
2 3468
2 1734
3 867
17 289
17 17
1

Prime factors of 6936 are 2,3,17. Prime factorization of 6936 in exponential form is:

6936 = 23×31×172

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

∴ So by taking common prime factors GCF of 6936 and 6939 is 3

Greatest Common Factor of 6936 and 6939 by matching factors method

Factors of 6936

List of positive integer factors of 6936 that divides 6936 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,289,408,578,867,1156,1734,2312,3468,6936

Factors of 6939

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

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

Greatest Common Factor

We found the factors and prime factorization of 6936 and 6939. The biggest common factor number is the GCF number.
So the greatest common factor 6936 and 6939 is 3.

Also check out the Least Common Multiple of 6936 and 6939

Properties of GCF 6936 and 6939

(i) The GCF of 6936 and 6939 is associative

GCF of 6936 and 6939 = GCF of 6939 and 6936

Related Greatest Common Factor of 6936

Related Greatest Common Factor of 6939

Frequently Asked Questions on GCF of 6936 and 6939

1. What is the GCF of 6936 and 6939?

Answer: GCF of 6936 and 6939 is 3.

2. What are the Factors of 6936?

Answer: Factors of 6936 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 289, 408, 578, 867, 1156, 1734, 2312, 3468, 6936. There are 24 integers that are factors of 6936. The greatest factor of 6936 is 6936.

3. 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.

4. How to Find the GCF of 6936 and 6939?

Answer:

Greatest Common Factor of 6936 and 6939 = 3

Step 1: Find the prime factorization of 6936

6936 = 2 x 2 x 2 x 3 x 17 x 17

Step 2: Find the prime factorization of 6939

6939 = 3 x 3 x 3 x 257

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 6936 and 6939 is 3