Greatest Common Factor of 6987 and 6993

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, 6993 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6987 and 6993 is 3.

GCF(6987,6993) = 3

GCF of 6987 and 6993

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

GCF of:
and

Greatest Common Factor of 6987 and 6993

GCF of 6987 and 6993 is 3

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 6993


3 6993
3 2331
3 777
7 259
37 37
1

Prime factors of 6993 are 3,7,37. Prime factorization of 6993 in exponential form is:

6993 = 33×71×371

∴ So by taking common prime factors GCF of 6987 and 6993 is 3

Greatest Common Factor of 6987 and 6993 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 6993

List of positive integer factors of 6993 that divides 6993 without a remainder.

1,3,7,9,21,27,37,63,111,189,259,333,777,999,2331,6993

Greatest Common Factor

We found the factors and prime factorization of 6987 and 6993. The biggest common factor number is the GCF number.
So the greatest common factor 6987 and 6993 is 3.

Also check out the Least Common Multiple of 6987 and 6993

Properties of GCF 6987 and 6993

(i) The GCF of 6987 and 6993 is associative

GCF of 6987 and 6993 = GCF of 6993 and 6987

Related Greatest Common Factor of 6987

Related Greatest Common Factor of 6993

Frequently Asked Questions on GCF of 6987 and 6993

1. What is the GCF of 6987 and 6993?

Answer: GCF of 6987 and 6993 is 3.

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 6993?

Answer: Factors of 6993 are 1, 3, 7, 9, 21, 27, 37, 63, 111, 189, 259, 333, 777, 999, 2331, 6993. There are 16 integers that are factors of 6993. The greatest factor of 6993 is 6993.

4. How to Find the GCF of 6987 and 6993?

Answer:

Greatest Common Factor of 6987 and 6993 = 3

Step 1: Find the prime factorization of 6987

6987 = 3 x 17 x 137

Step 2: Find the prime factorization of 6993

6993 = 3 x 3 x 3 x 7 x 37

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 6987 and 6993 is 3