Greatest Common Factor of 6765 and 6771

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 6765, 6771 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6765 and 6771 is 3.

GCF(6765,6771) = 3

GCF of 6765 and 6771

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

GCF of:
and

Greatest Common Factor of 6765 and 6771

GCF of 6765 and 6771 is 3

Prime Factorization of 6765


3 6765
5 2255
11 451
41 41
1

Prime factors of 6765 are 3,5,11,41. Prime factorization of 6765 in exponential form is:

6765 = 31×51×111×411

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

∴ So by taking common prime factors GCF of 6765 and 6771 is 3

Greatest Common Factor of 6765 and 6771 by matching factors method

Factors of 6765

List of positive integer factors of 6765 that divides 6765 without a remainder.

1,3,5,11,15,33,41,55,123,165,205,451,615,1353,2255,6765

Factors of 6771

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

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

Greatest Common Factor

We found the factors and prime factorization of 6765 and 6771. The biggest common factor number is the GCF number.
So the greatest common factor 6765 and 6771 is 3.

Also check out the Least Common Multiple of 6765 and 6771

Properties of GCF 6765 and 6771

(i) The GCF of 6765 and 6771 is associative

GCF of 6765 and 6771 = GCF of 6771 and 6765

Related Greatest Common Factor of 6765

Related Greatest Common Factor of 6771

Frequently Asked Questions on GCF of 6765 and 6771

1. What is the GCF of 6765 and 6771?

Answer: GCF of 6765 and 6771 is 3.

2. What are the Factors of 6765?

Answer: Factors of 6765 are 1, 3, 5, 11, 15, 33, 41, 55, 123, 165, 205, 451, 615, 1353, 2255, 6765. There are 16 integers that are factors of 6765. The greatest factor of 6765 is 6765.

3. 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.

4. How to Find the GCF of 6765 and 6771?

Answer:

Greatest Common Factor of 6765 and 6771 = 3

Step 1: Find the prime factorization of 6765

6765 = 3 x 5 x 11 x 41

Step 2: Find the prime factorization of 6771

6771 = 3 x 37 x 61

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 6765 and 6771 is 3