Greatest Common Factor of 6936 and 6937

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, 6937 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6936 and 6937 is 1.

GCF(6936,6937) = 1

GCF of 6936 and 6937

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

GCF of:
and

Greatest Common Factor of 6936 and 6937

GCF of 6936 and 6937 is 1

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 6937


7 6937
991 991
1

Prime factors of 6937 are 7,991. Prime factorization of 6937 in exponential form is:

6937 = 71×9911

∴ So by taking common prime factors GCF of 6936 and 6937 is 1

Greatest Common Factor of 6936 and 6937 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 6937

List of positive integer factors of 6937 that divides 6937 without a remainder.

1,7,991,6937

Greatest Common Factor

We found the factors and prime factorization of 6936 and 6937. The biggest common factor number is the GCF number.
So the greatest common factor 6936 and 6937 is 1.

Also check out the Least Common Multiple of 6936 and 6937

Properties of GCF 6936 and 6937

(i) The GCF of 6936 and 6937 is associative

GCF of 6936 and 6937 = GCF of 6937 and 6936

Related Greatest Common Factor of 6936

Related Greatest Common Factor of 6937

Frequently Asked Questions on GCF of 6936 and 6937

1. What is the GCF of 6936 and 6937?

Answer: GCF of 6936 and 6937 is 1.

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 6937?

Answer: Factors of 6937 are 1, 7, 991, 6937. There are 4 integers that are factors of 6937. The greatest factor of 6937 is 6937.

4. How to Find the GCF of 6936 and 6937?

Answer:

Greatest Common Factor of 6936 and 6937 = 1

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 6937

6937 = 7 x 991

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 6936 and 6937 is 1