What is the Greatest Common Factor of 12806 and 12825?

Greatest common factor (GCF) of 12806 and 12825 is 19.

GCF(12806,12825) = 19

We will now calculate the prime factors of 12806 and 12825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12806 and 12825.

How to find the GCF of 12806 and 12825?

We will first find the prime factorization of 12806 and 12825. After we will calculate the factors of 12806 and 12825 and find the biggest common factor number .

Step-1: Prime Factorization of 12806

Prime factors of 12806 are 2, 19, 337. Prime factorization of 12806 in exponential form is:

12806 = 2¹ × 19¹ × 337¹

Step-2: Prime Factorization of 12825

Prime factors of 12825 are 3, 5, 19. Prime factorization of 12825 in exponential form is:

12825 = 3³ × 5² × 19¹

Step-3: Factors of 12806

List of positive integer factors of 12806 that divides 12806 without a remainder.

1, 2, 19, 38, 337, 674, 6403

Step-4: Factors of 12825

List of positive integer factors of 12825 that divides 12806 without a remainder.

1, 3, 5, 9, 15, 19, 25, 27, 45, 57, 75, 95, 135, 171, 225, 285, 475, 513, 675, 855, 1425, 2565, 4275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12806 and 12825. The biggest common factor number is the GCF number.
So the greatest common factor 12806 and 12825 is 19.

Also check out the Least Common Multiple of 12806 and 12825