What is the Greatest Common Factor of 12523 and 12540?

Greatest common factor (GCF) of 12523 and 12540 is 1.

GCF(12523,12540) = 1

We will now calculate the prime factors of 12523 and 12540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12523 and 12540.

How to find the GCF of 12523 and 12540?

We will first find the prime factorization of 12523 and 12540. After we will calculate the factors of 12523 and 12540 and find the biggest common factor number .

Step-1: Prime Factorization of 12523

Prime factors of 12523 are 7, 1789. Prime factorization of 12523 in exponential form is:

12523 = 7¹ × 1789¹

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 12523

List of positive integer factors of 12523 that divides 12523 without a remainder.

1, 7, 1789

Step-4: Factors of 12540

List of positive integer factors of 12540 that divides 12523 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 12523 and 12540. The biggest common factor number is the GCF number.
So the greatest common factor 12523 and 12540 is 1.

Also check out the Least Common Multiple of 12523 and 12540