What is the Greatest Common Factor of 12801 and 12807?

Greatest common factor (GCF) of 12801 and 12807 is 3.

GCF(12801,12807) = 3

We will now calculate the prime factors of 12801 and 12807, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12801 and 12807.

How to find the GCF of 12801 and 12807?

We will first find the prime factorization of 12801 and 12807. After we will calculate the factors of 12801 and 12807 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12807

Prime factors of 12807 are 3, 1423. Prime factorization of 12807 in exponential form is:

12807 = 3² × 1423¹

Step-3: Factors of 12801

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

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

Step-4: Factors of 12807

List of positive integer factors of 12807 that divides 12801 without a remainder.

1, 3, 9, 1423, 4269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12801 and 12807. The biggest common factor number is the GCF number.
So the greatest common factor 12801 and 12807 is 3.

Also check out the Least Common Multiple of 12801 and 12807