What is the Greatest Common Factor of 12789 and 12801?

Greatest common factor (GCF) of 12789 and 12801 is 3.

GCF(12789,12801) = 3

We will now calculate the prime factors of 12789 and 12801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12789 and 12801.

How to find the GCF of 12789 and 12801?

We will first find the prime factorization of 12789 and 12801. After we will calculate the factors of 12789 and 12801 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12801

Prime factors of 12801 are 3, 17, 251. Prime factorization of 12801 in exponential form is:

12801 = 3¹ × 17¹ × 251¹

Step-3: Factors of 12789

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

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

Step-4: Factors of 12801

List of positive integer factors of 12801 that divides 12789 without a remainder.

1, 3, 17, 51, 251, 753, 4267

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12789 and 12801. The biggest common factor number is the GCF number.
So the greatest common factor 12789 and 12801 is 3.

Also check out the Least Common Multiple of 12789 and 12801