Greatest Common Factor of 6937 and 6944

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 6937, 6944 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6937 and 6944 is 7.

GCF(6937,6944) = 7

GCF of 6937 and 6944

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

GCF of:
and

Greatest Common Factor of 6937 and 6944

GCF of 6937 and 6944 is 7

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

Prime Factorization of 6944


2 6944
2 3472
2 1736
2 868
2 434
7 217
31 31
1

Prime factors of 6944 are 2,7,31. Prime factorization of 6944 in exponential form is:

6944 = 25×71×311

∴ So by taking common prime factors GCF of 6937 and 6944 is 7

Greatest Common Factor of 6937 and 6944 by matching factors method

Factors of 6937

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

1,7,991,6937

Factors of 6944

List of positive integer factors of 6944 that divides 6944 without a remainder.

1,2,4,7,8,14,16,28,31,32,56,62,112,124,217,224,248,434,496,868,992,1736,3472,6944

Greatest Common Factor

We found the factors and prime factorization of 6937 and 6944. The biggest common factor number is the GCF number.
So the greatest common factor 6937 and 6944 is 7.

Also check out the Least Common Multiple of 6937 and 6944

Properties of GCF 6937 and 6944

(i) The GCF of 6937 and 6944 is associative

GCF of 6937 and 6944 = GCF of 6944 and 6937

Related Greatest Common Factor of 6937

Related Greatest Common Factor of 6944

Frequently Asked Questions on GCF of 6937 and 6944

1. What is the GCF of 6937 and 6944?

Answer: GCF of 6937 and 6944 is 7.

2. 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.

3. What are the Factors of 6944?

Answer: Factors of 6944 are 1, 2, 4, 7, 8, 14, 16, 28, 31, 32, 56, 62, 112, 124, 217, 224, 248, 434, 496, 868, 992, 1736, 3472, 6944. There are 24 integers that are factors of 6944. The greatest factor of 6944 is 6944.

4. How to Find the GCF of 6937 and 6944?

Answer:

Greatest Common Factor of 6937 and 6944 = 7

Step 1: Find the prime factorization of 6937

6937 = 7 x 991

Step 2: Find the prime factorization of 6944

6944 = 2 x 2 x 2 x 2 x 2 x 7 x 31

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

GCF = 7

Step 4: Therefore, the greatest common factor of 6937 and 6944 is 7