Greatest Common Factor of 6931 and 6936

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 6931, 6936 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6931 and 6936 is 1.

GCF(6931,6936) = 1

GCF of 6931 and 6936

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

GCF of:
and

Greatest Common Factor of 6931 and 6936

GCF of 6931 and 6936 is 1

Prime Factorization of 6931


29 6931
239 239
1

Prime factors of 6931 are 29,239. Prime factorization of 6931 in exponential form is:

6931 = 291×2391

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

∴ So by taking common prime factors GCF of 6931 and 6936 is 1

Greatest Common Factor of 6931 and 6936 by matching factors method

Factors of 6931

List of positive integer factors of 6931 that divides 6931 without a remainder.

1,29,239,6931

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

Greatest Common Factor

We found the factors and prime factorization of 6931 and 6936. The biggest common factor number is the GCF number.
So the greatest common factor 6931 and 6936 is 1.

Also check out the Least Common Multiple of 6931 and 6936

Properties of GCF 6931 and 6936

(i) The GCF of 6931 and 6936 is associative

GCF of 6931 and 6936 = GCF of 6936 and 6931

Related Greatest Common Factor of 6931

Related Greatest Common Factor of 6936

Frequently Asked Questions on GCF of 6931 and 6936

1. What is the GCF of 6931 and 6936?

Answer: GCF of 6931 and 6936 is 1.

2. What are the Factors of 6931?

Answer: Factors of 6931 are 1, 29, 239, 6931. There are 4 integers that are factors of 6931. The greatest factor of 6931 is 6931.

3. 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.

4. How to Find the GCF of 6931 and 6936?

Answer:

Greatest Common Factor of 6931 and 6936 = 1

Step 1: Find the prime factorization of 6931

6931 = 29 x 239

Step 2: Find the prime factorization of 6936

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

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 6931 and 6936 is 1