What is the Greatest Common Factor of 12804 and 12813?

Greatest common factor (GCF) of 12804 and 12813 is 3.

GCF(12804,12813) = 3

We will now calculate the prime factors of 12804 and 12813, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12804 and 12813.

How to find the GCF of 12804 and 12813?

We will first find the prime factorization of 12804 and 12813. After we will calculate the factors of 12804 and 12813 and find the biggest common factor number .

Step-1: Prime Factorization of 12804

Prime factors of 12804 are 2, 3, 11, 97. Prime factorization of 12804 in exponential form is:

12804 = 2² × 3¹ × 11¹ × 97¹

Step-2: Prime Factorization of 12813

Prime factors of 12813 are 3, 4271. Prime factorization of 12813 in exponential form is:

12813 = 3¹ × 4271¹

Step-3: Factors of 12804

List of positive integer factors of 12804 that divides 12804 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 97, 132, 194, 291, 388, 582, 1067, 1164, 2134, 3201, 4268, 6402

Step-4: Factors of 12813

List of positive integer factors of 12813 that divides 12804 without a remainder.

1, 3, 4271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12804 and 12813. The biggest common factor number is the GCF number.
So the greatest common factor 12804 and 12813 is 3.

Also check out the Least Common Multiple of 12804 and 12813