Greatest Common Factor of 6987 and 6995

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, 6995 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6987 and 6995 is 1.

GCF(6987,6995) = 1

GCF of 6987 and 6995

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

GCF of:
and

Greatest Common Factor of 6987 and 6995

GCF of 6987 and 6995 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 6995


5 6995
1399 1399
1

Prime factors of 6995 are 5,1399. Prime factorization of 6995 in exponential form is:

6995 = 51×13991

∴ So by taking common prime factors GCF of 6987 and 6995 is 1

Greatest Common Factor of 6987 and 6995 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 6995

List of positive integer factors of 6995 that divides 6995 without a remainder.

1,5,1399,6995

Greatest Common Factor

We found the factors and prime factorization of 6987 and 6995. The biggest common factor number is the GCF number.
So the greatest common factor 6987 and 6995 is 1.

Also check out the Least Common Multiple of 6987 and 6995

Properties of GCF 6987 and 6995

(i) The GCF of 6987 and 6995 is associative

GCF of 6987 and 6995 = GCF of 6995 and 6987

Related Greatest Common Factor of 6987

Related Greatest Common Factor of 6995

Frequently Asked Questions on GCF of 6987 and 6995

1. What is the GCF of 6987 and 6995?

Answer: GCF of 6987 and 6995 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 6995?

Answer: Factors of 6995 are 1, 5, 1399, 6995. There are 4 integers that are factors of 6995. The greatest factor of 6995 is 6995.

4. How to Find the GCF of 6987 and 6995?

Answer:

Greatest Common Factor of 6987 and 6995 = 1

Step 1: Find the prime factorization of 6987

6987 = 3 x 17 x 137

Step 2: Find the prime factorization of 6995

6995 = 5 x 1399

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 6995 is 1