Greatest Common Factor of 6687 and 6693

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 6687, 6693 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6687 and 6693 is 3.

GCF(6687,6693) = 3

GCF of 6687 and 6693

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

GCF of:
and

Greatest Common Factor of 6687 and 6693

GCF of 6687 and 6693 is 3

Prime Factorization of 6687


3 6687
3 2229
743 743
1

Prime factors of 6687 are 3,743. Prime factorization of 6687 in exponential form is:

6687 = 32×7431

Prime Factorization of 6693


3 6693
23 2231
97 97
1

Prime factors of 6693 are 3,23,97. Prime factorization of 6693 in exponential form is:

6693 = 31×231×971

∴ So by taking common prime factors GCF of 6687 and 6693 is 3

Greatest Common Factor of 6687 and 6693 by matching factors method

Factors of 6687

List of positive integer factors of 6687 that divides 6687 without a remainder.

1,3,9,743,2229,6687

Factors of 6693

List of positive integer factors of 6693 that divides 6693 without a remainder.

1,3,23,69,97,291,2231,6693

Greatest Common Factor

We found the factors and prime factorization of 6687 and 6693. The biggest common factor number is the GCF number.
So the greatest common factor 6687 and 6693 is 3.

Also check out the Least Common Multiple of 6687 and 6693

Properties of GCF 6687 and 6693

(i) The GCF of 6687 and 6693 is associative

GCF of 6687 and 6693 = GCF of 6693 and 6687

Related Greatest Common Factor of 6687

Related Greatest Common Factor of 6693

Frequently Asked Questions on GCF of 6687 and 6693

1. What is the GCF of 6687 and 6693?

Answer: GCF of 6687 and 6693 is 3.

2. What are the Factors of 6687?

Answer: Factors of 6687 are 1, 3, 9, 743, 2229, 6687. There are 6 integers that are factors of 6687. The greatest factor of 6687 is 6687.

3. What are the Factors of 6693?

Answer: Factors of 6693 are 1, 3, 23, 69, 97, 291, 2231, 6693. There are 8 integers that are factors of 6693. The greatest factor of 6693 is 6693.

4. How to Find the GCF of 6687 and 6693?

Answer:

Greatest Common Factor of 6687 and 6693 = 3

Step 1: Find the prime factorization of 6687

6687 = 3 x 3 x 743

Step 2: Find the prime factorization of 6693

6693 = 3 x 23 x 97

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 6687 and 6693 is 3