Greatest Common Factor of 6938 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 6938, 6945 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6938 and 6945 is 1.

GCF(6938,6945) = 1

GCF of 6938 and 6945

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

GCF of:
and

Greatest Common Factor of 6938 and 6945

GCF of 6938 and 6945 is 1

Prime Factorization of 6938


2 6938
3469 3469
1

Prime factors of 6938 are 2,3469. Prime factorization of 6938 in exponential form is:

6938 = 21×34691

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 6938 and 6945 is 1

Greatest Common Factor of 6938 and 6945 by matching factors method

Factors of 6938

List of positive integer factors of 6938 that divides 6938 without a remainder.

1,2,3469,6938

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 6938 and 6945. The biggest common factor number is the GCF number.
So the greatest common factor 6938 and 6945 is 1.

Also check out the Least Common Multiple of 6938 and 6945

Properties of GCF 6938 and 6945

(i) The GCF of 6938 and 6945 is associative

GCF of 6938 and 6945 = GCF of 6945 and 6938

Related Greatest Common Factor of 6938

Related Greatest Common Factor of 6945

Frequently Asked Questions on GCF of 6938 and 6945

1. What is the GCF of 6938 and 6945?

Answer: GCF of 6938 and 6945 is 1.

2. What are the Factors of 6938?

Answer: Factors of 6938 are 1, 2, 3469, 6938. There are 4 integers that are factors of 6938. The greatest factor of 6938 is 6938.

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 6938 and 6945?

Answer:

Greatest Common Factor of 6938 and 6945 = 1

Step 1: Find the prime factorization of 6938

6938 = 2 x 3469

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 6938 and 6945 is 1