Greatest Common Factor of 6987 and 6989

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 6987, 6989 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6987 and 6989 is 1.

GCF(6987,6989) = 1

GCF of 6987 and 6989

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

GCF of:
and

Greatest Common Factor of 6987 and 6989

GCF of 6987 and 6989 is 1

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

Prime Factorization of 6989


29 6989
241 241
1

Prime factors of 6989 are 29,241. Prime factorization of 6989 in exponential form is:

6989 = 291×2411

∴ So by taking common prime factors GCF of 6987 and 6989 is 1

Greatest Common Factor of 6987 and 6989 by matching factors method

Factors of 6987

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

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

Factors of 6989

List of positive integer factors of 6989 that divides 6989 without a remainder.

1,29,241,6989

Greatest Common Factor

We found the factors and prime factorization of 6987 and 6989. The biggest common factor number is the GCF number.
So the greatest common factor 6987 and 6989 is 1.

Also check out the Least Common Multiple of 6987 and 6989

Properties of GCF 6987 and 6989

(i) The GCF of 6987 and 6989 is associative

GCF of 6987 and 6989 = GCF of 6989 and 6987

Related Greatest Common Factor of 6987

Related Greatest Common Factor of 6989

Frequently Asked Questions on GCF of 6987 and 6989

1. What is the GCF of 6987 and 6989?

Answer: GCF of 6987 and 6989 is 1.

2. 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.

3. What are the Factors of 6989?

Answer: Factors of 6989 are 1, 29, 241, 6989. There are 4 integers that are factors of 6989. The greatest factor of 6989 is 6989.

4. How to Find the GCF of 6987 and 6989?

Answer:

Greatest Common Factor of 6987 and 6989 = 1

Step 1: Find the prime factorization of 6987

6987 = 3 x 17 x 137

Step 2: Find the prime factorization of 6989

6989 = 29 x 241

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 6987 and 6989 is 1