What is the Greatest Common Factor of 6756 and 6771?

Greatest common factor (GCF) of 6756 and 6771 is 3.

GCF(6756,6771) = 3

We will now calculate the prime factors of 6756 and 6771, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6756 and 6771.

How to find the GCF of 6756 and 6771?

We will first find the prime factorization of 6756 and 6771. After we will calculate the factors of 6756 and 6771 and find the biggest common factor number .

Step-1: Prime Factorization of 6756

Prime factors of 6756 are 2, 3, 563. Prime factorization of 6756 in exponential form is:

6756 = 2² × 3¹ × 563¹

Step-2: 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-3: Factors of 6756

List of positive integer factors of 6756 that divides 6756 without a remainder.

1, 2, 3, 4, 6, 12, 563, 1126, 1689, 2252, 3378

Step-4: Factors of 6771

List of positive integer factors of 6771 that divides 6756 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6756 and 6771. The biggest common factor number is the GCF number.
So the greatest common factor 6756 and 6771 is 3.

Also check out the Least Common Multiple of 6756 and 6771