Greatest Common Factor of 6783 and 6786

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 6783, 6786 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6783 and 6786 is 3.

GCF(6783,6786) = 3

GCF of 6783 and 6786

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

GCF of:
and

Greatest Common Factor of 6783 and 6786

GCF of 6783 and 6786 is 3

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

Prime Factorization of 6786


2 6786
3 3393
3 1131
13 377
29 29
1

Prime factors of 6786 are 2,3,13,29. Prime factorization of 6786 in exponential form is:

6786 = 21×32×131×291

∴ So by taking common prime factors GCF of 6783 and 6786 is 3

Greatest Common Factor of 6783 and 6786 by matching factors method

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

Factors of 6786

List of positive integer factors of 6786 that divides 6786 without a remainder.

1,2,3,6,9,13,18,26,29,39,58,78,87,117,174,234,261,377,522,754,1131,2262,3393,6786

Greatest Common Factor

We found the factors and prime factorization of 6783 and 6786. The biggest common factor number is the GCF number.
So the greatest common factor 6783 and 6786 is 3.

Also check out the Least Common Multiple of 6783 and 6786

Properties of GCF 6783 and 6786

(i) The GCF of 6783 and 6786 is associative

GCF of 6783 and 6786 = GCF of 6786 and 6783

Related Greatest Common Factor of 6783

Related Greatest Common Factor of 6786

Frequently Asked Questions on GCF of 6783 and 6786

1. What is the GCF of 6783 and 6786?

Answer: GCF of 6783 and 6786 is 3.

2. 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.

3. What are the Factors of 6786?

Answer: Factors of 6786 are 1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786. There are 24 integers that are factors of 6786. The greatest factor of 6786 is 6786.

4. How to Find the GCF of 6783 and 6786?

Answer:

Greatest Common Factor of 6783 and 6786 = 3

Step 1: Find the prime factorization of 6783

6783 = 3 x 7 x 17 x 19

Step 2: Find the prime factorization of 6786

6786 = 2 x 3 x 3 x 13 x 29

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 6783 and 6786 is 3