Greatest Common Factor of 6982 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 6982, 6987 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6982 and 6987 is 1.

GCF(6982,6987) = 1

GCF of 6982 and 6987

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

GCF of:
and

Greatest Common Factor of 6982 and 6987

GCF of 6982 and 6987 is 1

Prime Factorization of 6982


2 6982
3491 3491
1

Prime factors of 6982 are 2,3491. Prime factorization of 6982 in exponential form is:

6982 = 21×34911

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 6982 and 6987 is 1

Greatest Common Factor of 6982 and 6987 by matching factors method

Factors of 6982

List of positive integer factors of 6982 that divides 6982 without a remainder.

1,2,3491,6982

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 6982 and 6987. The biggest common factor number is the GCF number.
So the greatest common factor 6982 and 6987 is 1.

Also check out the Least Common Multiple of 6982 and 6987

Properties of GCF 6982 and 6987

(i) The GCF of 6982 and 6987 is associative

GCF of 6982 and 6987 = GCF of 6987 and 6982

Related Greatest Common Factor of 6982

Related Greatest Common Factor of 6987

Frequently Asked Questions on GCF of 6982 and 6987

1. What is the GCF of 6982 and 6987?

Answer: GCF of 6982 and 6987 is 1.

2. What are the Factors of 6982?

Answer: Factors of 6982 are 1, 2, 3491, 6982. There are 4 integers that are factors of 6982. The greatest factor of 6982 is 6982.

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 6982 and 6987?

Answer:

Greatest Common Factor of 6982 and 6987 = 1

Step 1: Find the prime factorization of 6982

6982 = 2 x 3491

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 6982 and 6987 is 1