What is the Greatest Common Factor of 6777 and 6789?

Greatest common factor (GCF) of 6777 and 6789 is 3.

GCF(6777,6789) = 3

We will now calculate the prime factors of 6777 and 6789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6777 and 6789.

How to find the GCF of 6777 and 6789?

We will first find the prime factorization of 6777 and 6789. After we will calculate the factors of 6777 and 6789 and find the biggest common factor number .

Step-1: Prime Factorization of 6777

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

6777 = 3³ × 251¹

Step-2: Prime Factorization of 6789

Prime factors of 6789 are 3, 31, 73. Prime factorization of 6789 in exponential form is:

6789 = 3¹ × 31¹ × 73¹

Step-3: Factors of 6777

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

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

Step-4: Factors of 6789

List of positive integer factors of 6789 that divides 6777 without a remainder.

1, 3, 31, 73, 93, 219, 2263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6777 and 6789. The biggest common factor number is the GCF number.
So the greatest common factor 6777 and 6789 is 3.

Also check out the Least Common Multiple of 6777 and 6789