Greatest Common Factor of 6957 and 6959

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 6957, 6959 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6957 and 6959 is 1.

GCF(6957,6959) = 1

GCF of 6957 and 6959

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

GCF of:
and

Greatest Common Factor of 6957 and 6959

GCF of 6957 and 6959 is 1

Prime Factorization of 6957


3 6957
3 2319
773 773
1

Prime factors of 6957 are 3,773. Prime factorization of 6957 in exponential form is:

6957 = 32×7731

Prime Factorization of 6959


6959 6959
1

Prime factors of 6959 are 6959. Prime factorization of 6959 in exponential form is:

6959 = 69591

∴ So by taking common prime factors GCF of 6957 and 6959 is 1

Greatest Common Factor of 6957 and 6959 by matching factors method

Factors of 6957

List of positive integer factors of 6957 that divides 6957 without a remainder.

1,3,9,773,2319,6957

Factors of 6959

List of positive integer factors of 6959 that divides 6959 without a remainder.

1,6959

Greatest Common Factor

We found the factors and prime factorization of 6957 and 6959. The biggest common factor number is the GCF number.
So the greatest common factor 6957 and 6959 is 1.

Also check out the Least Common Multiple of 6957 and 6959

Properties of GCF 6957 and 6959

(i) The GCF of 6957 and 6959 is associative

GCF of 6957 and 6959 = GCF of 6959 and 6957

Related Greatest Common Factor of 6957

Related Greatest Common Factor of 6959

Frequently Asked Questions on GCF of 6957 and 6959

1. What is the GCF of 6957 and 6959?

Answer: GCF of 6957 and 6959 is 1.

2. What are the Factors of 6957?

Answer: Factors of 6957 are 1, 3, 9, 773, 2319, 6957. There are 6 integers that are factors of 6957. The greatest factor of 6957 is 6957.

3. What are the Factors of 6959?

Answer: Factors of 6959 are 1, 6959. There are 2 integers that are factors of 6959. The greatest factor of 6959 is 6959.

4. How to Find the GCF of 6957 and 6959?

Answer:

Greatest Common Factor of 6957 and 6959 = 1

Step 1: Find the prime factorization of 6957

6957 = 3 x 3 x 773

Step 2: Find the prime factorization of 6959

6959 = 6959

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 6957 and 6959 is 1