What is the Greatest Common Factor of 12825 and 12840?

Greatest common factor (GCF) of 12825 and 12840 is 15.

GCF(12825,12840) = 15

We will now calculate the prime factors of 12825 and 12840, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12825 and 12840.

How to find the GCF of 12825 and 12840?

We will first find the prime factorization of 12825 and 12840. After we will calculate the factors of 12825 and 12840 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 12840

Prime factors of 12840 are 2, 3, 5, 107. Prime factorization of 12840 in exponential form is:

12840 = 2³ × 3¹ × 5¹ × 107¹

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 12840

List of positive integer factors of 12840 that divides 12825 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 107, 120, 214, 321, 428, 535, 642, 856, 1070, 1284, 1605, 2140, 2568, 3210, 4280, 6420

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12825 and 12840. The biggest common factor number is the GCF number.
So the greatest common factor 12825 and 12840 is 15.

Also check out the Least Common Multiple of 12825 and 12840