Greatest Common Factor of 6774 and 6777

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, 6777 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6774 and 6777 is 3.

GCF(6774,6777) = 3

GCF of 6774 and 6777

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

GCF of:
and

Greatest Common Factor of 6774 and 6777

GCF of 6774 and 6777 is 3

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 6777


3 6777
3 2259
3 753
251 251
1

Prime factors of 6777 are 3,251. Prime factorization of 6777 in exponential form is:

6777 = 33×2511

∴ So by taking common prime factors GCF of 6774 and 6777 is 3

Greatest Common Factor of 6774 and 6777 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 6777

List of positive integer factors of 6777 that divides 6777 without a remainder.

1,3,9,27,251,753,2259,6777

Greatest Common Factor

We found the factors and prime factorization of 6774 and 6777. The biggest common factor number is the GCF number.
So the greatest common factor 6774 and 6777 is 3.

Also check out the Least Common Multiple of 6774 and 6777

Properties of GCF 6774 and 6777

(i) The GCF of 6774 and 6777 is associative

GCF of 6774 and 6777 = GCF of 6777 and 6774

Related Greatest Common Factor of 6774

Related Greatest Common Factor of 6777

Frequently Asked Questions on GCF of 6774 and 6777

1. What is the GCF of 6774 and 6777?

Answer: GCF of 6774 and 6777 is 3.

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 6777?

Answer: Factors of 6777 are 1, 3, 9, 27, 251, 753, 2259, 6777. There are 8 integers that are factors of 6777. The greatest factor of 6777 is 6777.

4. How to Find the GCF of 6774 and 6777?

Answer:

Greatest Common Factor of 6774 and 6777 = 3

Step 1: Find the prime factorization of 6774

6774 = 2 x 3 x 1129

Step 2: Find the prime factorization of 6777

6777 = 3 x 3 x 3 x 251

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 6774 and 6777 is 3