Greatest Common Factor of 6780 and 6782

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, 6782 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6780 and 6782 is 2.

GCF(6780,6782) = 2

GCF of 6780 and 6782

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

GCF of:
and

Greatest Common Factor of 6780 and 6782

GCF of 6780 and 6782 is 2

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 6782


2 6782
3391 3391
1

Prime factors of 6782 are 2,3391. Prime factorization of 6782 in exponential form is:

6782 = 21×33911

∴ So by taking common prime factors GCF of 6780 and 6782 is 2

Greatest Common Factor of 6780 and 6782 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 6782

List of positive integer factors of 6782 that divides 6782 without a remainder.

1,2,3391,6782

Greatest Common Factor

We found the factors and prime factorization of 6780 and 6782. The biggest common factor number is the GCF number.
So the greatest common factor 6780 and 6782 is 2.

Also check out the Least Common Multiple of 6780 and 6782

Properties of GCF 6780 and 6782

(i) The GCF of 6780 and 6782 is associative

GCF of 6780 and 6782 = GCF of 6782 and 6780

Related Greatest Common Factor of 6780

Related Greatest Common Factor of 6782

Frequently Asked Questions on GCF of 6780 and 6782

1. What is the GCF of 6780 and 6782?

Answer: GCF of 6780 and 6782 is 2.

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 6782?

Answer: Factors of 6782 are 1, 2, 3391, 6782. There are 4 integers that are factors of 6782. The greatest factor of 6782 is 6782.

4. How to Find the GCF of 6780 and 6782?

Answer:

Greatest Common Factor of 6780 and 6782 = 2

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 6782

6782 = 2 x 3391

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 6780 and 6782 is 2