Greatest Common Factor of 6780 and 6785

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, 6785 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6780 and 6785 is 5.

GCF(6780,6785) = 5

GCF of 6780 and 6785

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

GCF of:
and

Greatest Common Factor of 6780 and 6785

GCF of 6780 and 6785 is 5

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 6785


5 6785
23 1357
59 59
1

Prime factors of 6785 are 5,23,59. Prime factorization of 6785 in exponential form is:

6785 = 51×231×591

∴ So by taking common prime factors GCF of 6780 and 6785 is 5

Greatest Common Factor of 6780 and 6785 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 6785

List of positive integer factors of 6785 that divides 6785 without a remainder.

1,5,23,59,115,295,1357,6785

Greatest Common Factor

We found the factors and prime factorization of 6780 and 6785. The biggest common factor number is the GCF number.
So the greatest common factor 6780 and 6785 is 5.

Also check out the Least Common Multiple of 6780 and 6785

Properties of GCF 6780 and 6785

(i) The GCF of 6780 and 6785 is associative

GCF of 6780 and 6785 = GCF of 6785 and 6780

Related Greatest Common Factor of 6780

Related Greatest Common Factor of 6785

Frequently Asked Questions on GCF of 6780 and 6785

1. What is the GCF of 6780 and 6785?

Answer: GCF of 6780 and 6785 is 5.

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 6785?

Answer: Factors of 6785 are 1, 5, 23, 59, 115, 295, 1357, 6785. There are 8 integers that are factors of 6785. The greatest factor of 6785 is 6785.

4. How to Find the GCF of 6780 and 6785?

Answer:

Greatest Common Factor of 6780 and 6785 = 5

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 6785

6785 = 5 x 23 x 59

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

GCF = 5

Step 4: Therefore, the greatest common factor of 6780 and 6785 is 5