What is the Greatest Common Factor of 6771 and 6780?

Greatest common factor (GCF) of 6771 and 6780 is 3.

GCF(6771,6780) = 3

We will now calculate the prime factors of 6771 and 6780, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6771 and 6780.

How to find the GCF of 6771 and 6780?

We will first find the prime factorization of 6771 and 6780. After we will calculate the factors of 6771 and 6780 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 6780

Prime factors of 6780 are 2, 3, 5, 113. Prime factorization of 6780 in exponential form is:

6780 = 2² × 3¹ × 5¹ × 113¹

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 6780

List of positive integer factors of 6780 that divides 6771 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 113, 226, 339, 452, 565, 678, 1130, 1356, 1695, 2260, 3390

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6771 and 6780. The biggest common factor number is the GCF number.
So the greatest common factor 6771 and 6780 is 3.

Also check out the Least Common Multiple of 6771 and 6780