Greatest Common Factor of 6780 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 6780, 6786 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6780 and 6786 is 6.

GCF(6780,6786) = 6

GCF of 6780 and 6786

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

GCF of:
and

Greatest Common Factor of 6780 and 6786

GCF of 6780 and 6786 is 6

Prime Factorization of 6780


2 6780
2 3390
3 1695
5 565
113 113
1

Prime factors of 6780 are 2,3,5,113. Prime factorization of 6780 in exponential form is:

6780 = 22×31×51×1131

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 6780 and 6786 is 6

Greatest Common Factor of 6780 and 6786 by matching factors method

Factors of 6780

List of positive integer factors of 6780 that divides 6780 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,113,226,339,452,565,678,1130,1356,1695,2260,3390,6780

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 6780 and 6786. The biggest common factor number is the GCF number.
So the greatest common factor 6780 and 6786 is 6.

Also check out the Least Common Multiple of 6780 and 6786

Properties of GCF 6780 and 6786

(i) The GCF of 6780 and 6786 is associative

GCF of 6780 and 6786 = GCF of 6786 and 6780

Related Greatest Common Factor of 6780

Related Greatest Common Factor of 6786

Frequently Asked Questions on GCF of 6780 and 6786

1. What is the GCF of 6780 and 6786?

Answer: GCF of 6780 and 6786 is 6.

2. What are the Factors of 6780?

Answer: Factors of 6780 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390, 6780. There are 24 integers that are factors of 6780. The greatest factor of 6780 is 6780.

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 6780 and 6786?

Answer:

Greatest Common Factor of 6780 and 6786 = 6

Step 1: Find the prime factorization of 6780

6780 = 2 x 2 x 3 x 5 x 113

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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 6780 and 6786 is 6