What is the Greatest Common Factor of 12825 and 12837?

Greatest common factor (GCF) of 12825 and 12837 is 3.

GCF(12825,12837) = 3

We will now calculate the prime factors of 12825 and 12837, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12825 and 12837.

How to find the GCF of 12825 and 12837?

We will first find the prime factorization of 12825 and 12837. After we will calculate the factors of 12825 and 12837 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12837

Prime factors of 12837 are 3, 11, 389. Prime factorization of 12837 in exponential form is:

12837 = 3¹ × 11¹ × 389¹

Step-3: Factors of 12825

List of positive integer factors of 12825 that divides 12825 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

Step-4: Factors of 12837

List of positive integer factors of 12837 that divides 12825 without a remainder.

1, 3, 11, 33, 389, 1167, 4279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12825 and 12837. The biggest common factor number is the GCF number.
So the greatest common factor 12825 and 12837 is 3.

Also check out the Least Common Multiple of 12825 and 12837