What is the Greatest Common Factor of 6771 and 6777?

Greatest common factor (GCF) of 6771 and 6777 is 3.

GCF(6771,6777) = 3

We will now calculate the prime factors of 6771 and 6777, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6771 and 6777.

How to find the GCF of 6771 and 6777?

We will first find the prime factorization of 6771 and 6777. After we will calculate the factors of 6771 and 6777 and find the biggest common factor number .

Step-1: Prime Factorization of 6771

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

6771 = 3¹ × 37¹ × 61¹

Step-2: Prime Factorization of 6777

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

6777 = 3³ × 251¹

Step-3: Factors of 6771

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

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

Step-4: Factors of 6777

List of positive integer factors of 6777 that divides 6771 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6771 and 6777. The biggest common factor number is the GCF number.
So the greatest common factor 6771 and 6777 is 3.

Also check out the Least Common Multiple of 6771 and 6777