Greatest Common Factor of 6774 and 6780

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 6774, 6780 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6774 and 6780 is 6.

GCF(6774,6780) = 6

GCF of 6774 and 6780

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

GCF of:
and

Greatest Common Factor of 6774 and 6780

GCF of 6774 and 6780 is 6

Prime Factorization of 6774


2 6774
3 3387
1129 1129
1

Prime factors of 6774 are 2,3,1129. Prime factorization of 6774 in exponential form is:

6774 = 21×31×11291

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

∴ So by taking common prime factors GCF of 6774 and 6780 is 6

Greatest Common Factor of 6774 and 6780 by matching factors method

Factors of 6774

List of positive integer factors of 6774 that divides 6774 without a remainder.

1,2,3,6,1129,2258,3387,6774

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

Greatest Common Factor

We found the factors and prime factorization of 6774 and 6780. The biggest common factor number is the GCF number.
So the greatest common factor 6774 and 6780 is 6.

Also check out the Least Common Multiple of 6774 and 6780

Properties of GCF 6774 and 6780

(i) The GCF of 6774 and 6780 is associative

GCF of 6774 and 6780 = GCF of 6780 and 6774

Related Greatest Common Factor of 6774

Related Greatest Common Factor of 6780

Frequently Asked Questions on GCF of 6774 and 6780

1. What is the GCF of 6774 and 6780?

Answer: GCF of 6774 and 6780 is 6.

2. What are the Factors of 6774?

Answer: Factors of 6774 are 1, 2, 3, 6, 1129, 2258, 3387, 6774. There are 8 integers that are factors of 6774. The greatest factor of 6774 is 6774.

3. 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.

4. How to Find the GCF of 6774 and 6780?

Answer:

Greatest Common Factor of 6774 and 6780 = 6

Step 1: Find the prime factorization of 6774

6774 = 2 x 3 x 1129

Step 2: Find the prime factorization of 6780

6780 = 2 x 2 x 3 x 5 x 113

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 6774 and 6780 is 6