Greatest Common Factor of 6937 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 6937, 6945 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6937 and 6945 is 1.

GCF(6937,6945) = 1

GCF of 6937 and 6945

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

GCF of:
and

Greatest Common Factor of 6937 and 6945

GCF of 6937 and 6945 is 1

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 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 6937 and 6945 is 1

Greatest Common Factor of 6937 and 6945 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 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 6937 and 6945. The biggest common factor number is the GCF number.
So the greatest common factor 6937 and 6945 is 1.

Also check out the Least Common Multiple of 6937 and 6945

Properties of GCF 6937 and 6945

(i) The GCF of 6937 and 6945 is associative

GCF of 6937 and 6945 = GCF of 6945 and 6937

Related Greatest Common Factor of 6937

Related Greatest Common Factor of 6945

Frequently Asked Questions on GCF of 6937 and 6945

1. What is the GCF of 6937 and 6945?

Answer: GCF of 6937 and 6945 is 1.

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 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 6937 and 6945?

Answer:

Greatest Common Factor of 6937 and 6945 = 1

Step 1: Find the prime factorization of 6937

6937 = 7 x 991

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 = = 1

Step 4: Therefore, the greatest common factor of 6937 and 6945 is 1