What is the Greatest Common Factor of 12525 and 12540?

Greatest common factor (GCF) of 12525 and 12540 is 15.

GCF(12525,12540) = 15

We will now calculate the prime factors of 12525 and 12540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12525 and 12540.

How to find the GCF of 12525 and 12540?

We will first find the prime factorization of 12525 and 12540. After we will calculate the factors of 12525 and 12540 and find the biggest common factor number .

Step-1: Prime Factorization of 12525

Prime factors of 12525 are 3, 5, 167. Prime factorization of 12525 in exponential form is:

12525 = 3¹ × 5² × 167¹

Step-2: Prime Factorization of 12540

Prime factors of 12540 are 2, 3, 5, 11, 19. Prime factorization of 12540 in exponential form is:

12540 = 2² × 3¹ × 5¹ × 11¹ × 19¹

Step-3: Factors of 12525

List of positive integer factors of 12525 that divides 12525 without a remainder.

1, 3, 5, 15, 25, 75, 167, 501, 835, 2505, 4175

Step-4: Factors of 12540

List of positive integer factors of 12540 that divides 12525 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 19, 20, 22, 30, 33, 38, 44, 55, 57, 60, 66, 76, 95, 110, 114, 132, 165, 190, 209, 220, 228, 285, 330, 380, 418, 570, 627, 660, 836, 1045, 1140, 1254, 2090, 2508, 3135, 4180, 6270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12525 and 12540. The biggest common factor number is the GCF number.
So the greatest common factor 12525 and 12540 is 15.

Also check out the Least Common Multiple of 12525 and 12540