What is the Greatest Common Factor of 12540 and 12560?

Greatest common factor (GCF) of 12540 and 12560 is 20.

GCF(12540,12560) = 20

We will now calculate the prime factors of 12540 and 12560, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12540 and 12560.

How to find the GCF of 12540 and 12560?

We will first find the prime factorization of 12540 and 12560. After we will calculate the factors of 12540 and 12560 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 12560

Prime factors of 12560 are 2, 5, 157. Prime factorization of 12560 in exponential form is:

12560 = 2⁴ × 5¹ × 157¹

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 12560

List of positive integer factors of 12560 that divides 12540 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 157, 314, 628, 785, 1256, 1570, 2512, 3140, 6280

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12540 and 12560. The biggest common factor number is the GCF number.
So the greatest common factor 12540 and 12560 is 20.

Also check out the Least Common Multiple of 12540 and 12560