What is the Greatest Common Factor of 12777 and 12789?

Greatest common factor (GCF) of 12777 and 12789 is 3.

GCF(12777,12789) = 3

We will now calculate the prime factors of 12777 and 12789, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12777 and 12789.

How to find the GCF of 12777 and 12789?

We will first find the prime factorization of 12777 and 12789. After we will calculate the factors of 12777 and 12789 and find the biggest common factor number .

Step-1: Prime Factorization of 12777

Prime factors of 12777 are 3, 4259. Prime factorization of 12777 in exponential form is:

12777 = 3¹ × 4259¹

Step-2: Prime Factorization of 12789

Prime factors of 12789 are 3, 7, 29. Prime factorization of 12789 in exponential form is:

12789 = 3² × 7² × 29¹

Step-3: Factors of 12777

List of positive integer factors of 12777 that divides 12777 without a remainder.

1, 3, 4259

Step-4: Factors of 12789

List of positive integer factors of 12789 that divides 12777 without a remainder.

1, 3, 7, 9, 21, 29, 49, 63, 87, 147, 203, 261, 441, 609, 1421, 1827, 4263

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12777 and 12789. The biggest common factor number is the GCF number.
So the greatest common factor 12777 and 12789 is 3.

Also check out the Least Common Multiple of 12777 and 12789