Greatest Common Factor of 6979 and 6987

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 6979, 6987 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6979 and 6987 is 1.

GCF(6979,6987) = 1

GCF of 6979 and 6987

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

GCF of:
and

Greatest Common Factor of 6979 and 6987

GCF of 6979 and 6987 is 1

Prime Factorization of 6979


7 6979
997 997
1

Prime factors of 6979 are 7,997. Prime factorization of 6979 in exponential form is:

6979 = 71×9971

Prime Factorization of 6987


3 6987
17 2329
137 137
1

Prime factors of 6987 are 3,17,137. Prime factorization of 6987 in exponential form is:

6987 = 31×171×1371

∴ So by taking common prime factors GCF of 6979 and 6987 is 1

Greatest Common Factor of 6979 and 6987 by matching factors method

Factors of 6979

List of positive integer factors of 6979 that divides 6979 without a remainder.

1,7,997,6979

Factors of 6987

List of positive integer factors of 6987 that divides 6987 without a remainder.

1,3,17,51,137,411,2329,6987

Greatest Common Factor

We found the factors and prime factorization of 6979 and 6987. The biggest common factor number is the GCF number.
So the greatest common factor 6979 and 6987 is 1.

Also check out the Least Common Multiple of 6979 and 6987

Properties of GCF 6979 and 6987

(i) The GCF of 6979 and 6987 is associative

GCF of 6979 and 6987 = GCF of 6987 and 6979

Related Greatest Common Factor of 6979

Related Greatest Common Factor of 6987

Frequently Asked Questions on GCF of 6979 and 6987

1. What is the GCF of 6979 and 6987?

Answer: GCF of 6979 and 6987 is 1.

2. What are the Factors of 6979?

Answer: Factors of 6979 are 1, 7, 997, 6979. There are 4 integers that are factors of 6979. The greatest factor of 6979 is 6979.

3. What are the Factors of 6987?

Answer: Factors of 6987 are 1, 3, 17, 51, 137, 411, 2329, 6987. There are 8 integers that are factors of 6987. The greatest factor of 6987 is 6987.

4. How to Find the GCF of 6979 and 6987?

Answer:

Greatest Common Factor of 6979 and 6987 = 1

Step 1: Find the prime factorization of 6979

6979 = 7 x 997

Step 2: Find the prime factorization of 6987

6987 = 3 x 17 x 137

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 6979 and 6987 is 1