Greatest Common Factor of 6771 and 6775

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, 6775 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 6771 and 6775 is 1.

GCF(6771,6775) = 1

GCF of 6771 and 6775

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

GCF of:
and

Greatest Common Factor of 6771 and 6775

GCF of 6771 and 6775 is 1

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 6775


5 6775
5 1355
271 271
1

Prime factors of 6775 are 5,271. Prime factorization of 6775 in exponential form is:

6775 = 52×2711

∴ So by taking common prime factors GCF of 6771 and 6775 is 1

Greatest Common Factor of 6771 and 6775 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 6775

List of positive integer factors of 6775 that divides 6775 without a remainder.

1,5,25,271,1355,6775

Greatest Common Factor

We found the factors and prime factorization of 6771 and 6775. The biggest common factor number is the GCF number.
So the greatest common factor 6771 and 6775 is 1.

Also check out the Least Common Multiple of 6771 and 6775

Properties of GCF 6771 and 6775

(i) The GCF of 6771 and 6775 is associative

GCF of 6771 and 6775 = GCF of 6775 and 6771

Related Greatest Common Factor of 6771

Related Greatest Common Factor of 6775

Frequently Asked Questions on GCF of 6771 and 6775

1. What is the GCF of 6771 and 6775?

Answer: GCF of 6771 and 6775 is 1.

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 6775?

Answer: Factors of 6775 are 1, 5, 25, 271, 1355, 6775. There are 6 integers that are factors of 6775. The greatest factor of 6775 is 6775.

4. How to Find the GCF of 6771 and 6775?

Answer:

Greatest Common Factor of 6771 and 6775 = 1

Step 1: Find the prime factorization of 6771

6771 = 3 x 37 x 61

Step 2: Find the prime factorization of 6775

6775 = 5 x 5 x 271

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 6771 and 6775 is 1