Greatest Common Factor of 6938 and 6943

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, 6943 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6938 and 6943 is 1.

GCF(6938,6943) = 1

GCF of 6938 and 6943

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

GCF of:
and

Greatest Common Factor of 6938 and 6943

GCF of 6938 and 6943 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 6943


53 6943
131 131
1

Prime factors of 6943 are 53,131. Prime factorization of 6943 in exponential form is:

6943 = 531×1311

∴ So by taking common prime factors GCF of 6938 and 6943 is 1

Greatest Common Factor of 6938 and 6943 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 6943

List of positive integer factors of 6943 that divides 6943 without a remainder.

1,53,131,6943

Greatest Common Factor

We found the factors and prime factorization of 6938 and 6943. The biggest common factor number is the GCF number.
So the greatest common factor 6938 and 6943 is 1.

Also check out the Least Common Multiple of 6938 and 6943

Properties of GCF 6938 and 6943

(i) The GCF of 6938 and 6943 is associative

GCF of 6938 and 6943 = GCF of 6943 and 6938

Related Greatest Common Factor of 6938

Related Greatest Common Factor of 6943

Frequently Asked Questions on GCF of 6938 and 6943

1. What is the GCF of 6938 and 6943?

Answer: GCF of 6938 and 6943 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 6943?

Answer: Factors of 6943 are 1, 53, 131, 6943. There are 4 integers that are factors of 6943. The greatest factor of 6943 is 6943.

4. How to Find the GCF of 6938 and 6943?

Answer:

Greatest Common Factor of 6938 and 6943 = 1

Step 1: Find the prime factorization of 6938

6938 = 2 x 3469

Step 2: Find the prime factorization of 6943

6943 = 53 x 131

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 6943 is 1