Greatest Common Factor of 6771 and 6774

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 6771, 6774 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6771 and 6774 is 3.

GCF(6771,6774) = 3

GCF of 6771 and 6774

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

GCF of:
and

Greatest Common Factor of 6771 and 6774

GCF of 6771 and 6774 is 3

Prime Factorization of 6771


3 6771
37 2257
61 61
1

Prime factors of 6771 are 3,37,61. Prime factorization of 6771 in exponential form is:

6771 = 31×371×611

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

∴ So by taking common prime factors GCF of 6771 and 6774 is 3

Greatest Common Factor of 6771 and 6774 by matching factors method

Factors of 6771

List of positive integer factors of 6771 that divides 6771 without a remainder.

1,3,37,61,111,183,2257,6771

Factors of 6774

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

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

Greatest Common Factor

We found the factors and prime factorization of 6771 and 6774. The biggest common factor number is the GCF number.
So the greatest common factor 6771 and 6774 is 3.

Also check out the Least Common Multiple of 6771 and 6774

Properties of GCF 6771 and 6774

(i) The GCF of 6771 and 6774 is associative

GCF of 6771 and 6774 = GCF of 6774 and 6771

Related Greatest Common Factor of 6771

Related Greatest Common Factor of 6774

Frequently Asked Questions on GCF of 6771 and 6774

1. What is the GCF of 6771 and 6774?

Answer: GCF of 6771 and 6774 is 3.

2. What are the Factors of 6771?

Answer: Factors of 6771 are 1, 3, 37, 61, 111, 183, 2257, 6771. There are 8 integers that are factors of 6771. The greatest factor of 6771 is 6771.

3. 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.

4. How to Find the GCF of 6771 and 6774?

Answer:

Greatest Common Factor of 6771 and 6774 = 3

Step 1: Find the prime factorization of 6771

6771 = 3 x 37 x 61

Step 2: Find the prime factorization of 6774

6774 = 2 x 3 x 1129

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 6771 and 6774 is 3