What is the Greatest Common Factor of 12530 and 12540?

Greatest common factor (GCF) of 12530 and 12540 is 10.

GCF(12530,12540) = 10

We will now calculate the prime factors of 12530 and 12540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12530 and 12540.

How to find the GCF of 12530 and 12540?

We will first find the prime factorization of 12530 and 12540. After we will calculate the factors of 12530 and 12540 and find the biggest common factor number .

Step-1: Prime Factorization of 12530

Prime factors of 12530 are 2, 5, 7, 179. Prime factorization of 12530 in exponential form is:

12530 = 2¹ × 5¹ × 7¹ × 179¹

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 12530

List of positive integer factors of 12530 that divides 12530 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70, 179, 358, 895, 1253, 1790, 2506, 6265

Step-4: Factors of 12540

List of positive integer factors of 12540 that divides 12530 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 12530 and 12540. The biggest common factor number is the GCF number.
So the greatest common factor 12530 and 12540 is 10.

Also check out the Least Common Multiple of 12530 and 12540