What is the Greatest Common Factor of 12540 and 12554?

Greatest common factor (GCF) of 12540 and 12554 is 2.

GCF(12540,12554) = 2

We will now calculate the prime factors of 12540 and 12554, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12540 and 12554.

How to find the GCF of 12540 and 12554?

We will first find the prime factorization of 12540 and 12554. After we will calculate the factors of 12540 and 12554 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 12554

Prime factors of 12554 are 2, 6277. Prime factorization of 12554 in exponential form is:

12554 = 2¹ × 6277¹

Step-3: Factors of 12540

List of positive integer factors of 12540 that divides 12540 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

Step-4: Factors of 12554

List of positive integer factors of 12554 that divides 12540 without a remainder.

1, 2, 6277

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12540 and 12554. The biggest common factor number is the GCF number.
So the greatest common factor 12540 and 12554 is 2.

Also check out the Least Common Multiple of 12540 and 12554