Greatest Common Factor of 6986 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 6986, 6993 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6986 and 6993 is 7.

GCF(6986,6993) = 7

GCF of 6986 and 6993

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

GCF of:
and

Greatest Common Factor of 6986 and 6993

GCF of 6986 and 6993 is 7

Prime Factorization of 6986


2 6986
7 3493
499 499
1

Prime factors of 6986 are 2,7,499. Prime factorization of 6986 in exponential form is:

6986 = 21×71×4991

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 6986 and 6993 is 7

Greatest Common Factor of 6986 and 6993 by matching factors method

Factors of 6986

List of positive integer factors of 6986 that divides 6986 without a remainder.

1,2,7,14,499,998,3493,6986

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 6986 and 6993. The biggest common factor number is the GCF number.
So the greatest common factor 6986 and 6993 is 7.

Also check out the Least Common Multiple of 6986 and 6993

Properties of GCF 6986 and 6993

(i) The GCF of 6986 and 6993 is associative

GCF of 6986 and 6993 = GCF of 6993 and 6986

Related Greatest Common Factor of 6986

Related Greatest Common Factor of 6993

Frequently Asked Questions on GCF of 6986 and 6993

1. What is the GCF of 6986 and 6993?

Answer: GCF of 6986 and 6993 is 7.

2. What are the Factors of 6986?

Answer: Factors of 6986 are 1, 2, 7, 14, 499, 998, 3493, 6986. There are 8 integers that are factors of 6986. The greatest factor of 6986 is 6986.

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 6986 and 6993?

Answer:

Greatest Common Factor of 6986 and 6993 = 7

Step 1: Find the prime factorization of 6986

6986 = 2 x 7 x 499

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 = 7

Step 4: Therefore, the greatest common factor of 6986 and 6993 is 7