Greatest Common Factor of 6777 and 6783

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 6777, 6783 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6777 and 6783 is 3.

GCF(6777,6783) = 3

GCF of 6777 and 6783

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

GCF of:
and

Greatest Common Factor of 6777 and 6783

GCF of 6777 and 6783 is 3

Prime Factorization of 6777


3 6777
3 2259
3 753
251 251
1

Prime factors of 6777 are 3,251. Prime factorization of 6777 in exponential form is:

6777 = 33×2511

Prime Factorization of 6783


3 6783
7 2261
17 323
19 19
1

Prime factors of 6783 are 3,7,17,19. Prime factorization of 6783 in exponential form is:

6783 = 31×71×171×191

∴ So by taking common prime factors GCF of 6777 and 6783 is 3

Greatest Common Factor of 6777 and 6783 by matching factors method

Factors of 6777

List of positive integer factors of 6777 that divides 6777 without a remainder.

1,3,9,27,251,753,2259,6777

Factors of 6783

List of positive integer factors of 6783 that divides 6783 without a remainder.

1,3,7,17,19,21,51,57,119,133,323,357,399,969,2261,6783

Greatest Common Factor

We found the factors and prime factorization of 6777 and 6783. The biggest common factor number is the GCF number.
So the greatest common factor 6777 and 6783 is 3.

Also check out the Least Common Multiple of 6777 and 6783

Properties of GCF 6777 and 6783

(i) The GCF of 6777 and 6783 is associative

GCF of 6777 and 6783 = GCF of 6783 and 6777

Related Greatest Common Factor of 6777

Related Greatest Common Factor of 6783

Frequently Asked Questions on GCF of 6777 and 6783

1. What is the GCF of 6777 and 6783?

Answer: GCF of 6777 and 6783 is 3.

2. What are the Factors of 6777?

Answer: Factors of 6777 are 1, 3, 9, 27, 251, 753, 2259, 6777. There are 8 integers that are factors of 6777. The greatest factor of 6777 is 6777.

3. What are the Factors of 6783?

Answer: Factors of 6783 are 1, 3, 7, 17, 19, 21, 51, 57, 119, 133, 323, 357, 399, 969, 2261, 6783. There are 16 integers that are factors of 6783. The greatest factor of 6783 is 6783.

4. How to Find the GCF of 6777 and 6783?

Answer:

Greatest Common Factor of 6777 and 6783 = 3

Step 1: Find the prime factorization of 6777

6777 = 3 x 3 x 3 x 251

Step 2: Find the prime factorization of 6783

6783 = 3 x 7 x 17 x 19

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 6777 and 6783 is 3