Greatest Common Factor of 6669 and 6677

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 6669, 6677 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6669 and 6677 is 1.

GCF(6669,6677) = 1

GCF of 6669 and 6677

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

GCF of:
and

Greatest Common Factor of 6669 and 6677

GCF of 6669 and 6677 is 1

Prime Factorization of 6669


3 6669
3 2223
3 741
13 247
19 19
1

Prime factors of 6669 are 3,13,19. Prime factorization of 6669 in exponential form is:

6669 = 33×131×191

Prime Factorization of 6677


11 6677
607 607
1

Prime factors of 6677 are 11,607. Prime factorization of 6677 in exponential form is:

6677 = 111×6071

∴ So by taking common prime factors GCF of 6669 and 6677 is 1

Greatest Common Factor of 6669 and 6677 by matching factors method

Factors of 6669

List of positive integer factors of 6669 that divides 6669 without a remainder.

1,3,9,13,19,27,39,57,117,171,247,351,513,741,2223,6669

Factors of 6677

List of positive integer factors of 6677 that divides 6677 without a remainder.

1,11,607,6677

Greatest Common Factor

We found the factors and prime factorization of 6669 and 6677. The biggest common factor number is the GCF number.
So the greatest common factor 6669 and 6677 is 1.

Also check out the Least Common Multiple of 6669 and 6677

Properties of GCF 6669 and 6677

(i) The GCF of 6669 and 6677 is associative

GCF of 6669 and 6677 = GCF of 6677 and 6669

Frequently Asked Questions on GCF of 6669 and 6677

1. What is the GCF of 6669 and 6677?

Answer: GCF of 6669 and 6677 is 1.

2. What are the Factors of 6669?

Answer: Factors of 6669 are 1, 3, 9, 13, 19, 27, 39, 57, 117, 171, 247, 351, 513, 741, 2223, 6669. There are 16 integers that are factors of 6669. The greatest factor of 6669 is 6669.

3. What are the Factors of 6677?

Answer: Factors of 6677 are 1, 11, 607, 6677. There are 4 integers that are factors of 6677. The greatest factor of 6677 is 6677.

4. How to Find the GCF of 6669 and 6677?

Answer:

Greatest Common Factor of 6669 and 6677 = 1

Step 1: Find the prime factorization of 6669

6669 = 3 x 3 x 3 x 13 x 19

Step 2: Find the prime factorization of 6677

6677 = 11 x 607

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 6669 and 6677 is 1