Greatest Common Factor of 6941 and 6942

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 6941, 6942 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6941 and 6942 is 1.

GCF(6941,6942) = 1

GCF of 6941 and 6942

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

GCF of:
and

Greatest Common Factor of 6941 and 6942

GCF of 6941 and 6942 is 1

Prime Factorization of 6941


11 6941
631 631
1

Prime factors of 6941 are 11,631. Prime factorization of 6941 in exponential form is:

6941 = 111×6311

Prime Factorization of 6942


2 6942
3 3471
13 1157
89 89
1

Prime factors of 6942 are 2,3,13,89. Prime factorization of 6942 in exponential form is:

6942 = 21×31×131×891

∴ So by taking common prime factors GCF of 6941 and 6942 is 1

Greatest Common Factor of 6941 and 6942 by matching factors method

Factors of 6941

List of positive integer factors of 6941 that divides 6941 without a remainder.

1,11,631,6941

Factors of 6942

List of positive integer factors of 6942 that divides 6942 without a remainder.

1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942

Greatest Common Factor

We found the factors and prime factorization of 6941 and 6942. The biggest common factor number is the GCF number.
So the greatest common factor 6941 and 6942 is 1.

Also check out the Least Common Multiple of 6941 and 6942

Properties of GCF 6941 and 6942

(i) The GCF of 6941 and 6942 is associative

GCF of 6941 and 6942 = GCF of 6942 and 6941

Related Greatest Common Factor of 6941

Related Greatest Common Factor of 6942

Frequently Asked Questions on GCF of 6941 and 6942

1. What is the GCF of 6941 and 6942?

Answer: GCF of 6941 and 6942 is 1.

2. What are the Factors of 6941?

Answer: Factors of 6941 are 1, 11, 631, 6941. There are 4 integers that are factors of 6941. The greatest factor of 6941 is 6941.

3. What are the Factors of 6942?

Answer: Factors of 6942 are 1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471, 6942. There are 16 integers that are factors of 6942. The greatest factor of 6942 is 6942.

4. How to Find the GCF of 6941 and 6942?

Answer:

Greatest Common Factor of 6941 and 6942 = 1

Step 1: Find the prime factorization of 6941

6941 = 11 x 631

Step 2: Find the prime factorization of 6942

6942 = 2 x 3 x 13 x 89

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 6941 and 6942 is 1