What is the Greatest Common Factor of 12825 and 12839?

Greatest common factor (GCF) of 12825 and 12839 is 1.

GCF(12825,12839) = 1

We will now calculate the prime factors of 12825 and 12839, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12825 and 12839.

How to find the GCF of 12825 and 12839?

We will first find the prime factorization of 12825 and 12839. After we will calculate the factors of 12825 and 12839 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 12839

Prime factors of 12839 are 37, 347. Prime factorization of 12839 in exponential form is:

12839 = 37¹ × 347¹

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 12839

List of positive integer factors of 12839 that divides 12825 without a remainder.

1, 37, 347

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12825 and 12839. The biggest common factor number is the GCF number.
So the greatest common factor 12825 and 12839 is 1.

Also check out the Least Common Multiple of 12825 and 12839