What is the Greatest Common Factor of 12523 and 12537?

Greatest common factor (GCF) of 12523 and 12537 is 7.

GCF(12523,12537) = 7

We will now calculate the prime factors of 12523 and 12537, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12523 and 12537.

How to find the GCF of 12523 and 12537?

We will first find the prime factorization of 12523 and 12537. After we will calculate the factors of 12523 and 12537 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 12537

Prime factors of 12537 are 3, 7, 199. Prime factorization of 12537 in exponential form is:

12537 = 3² × 7¹ × 199¹

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 12537

List of positive integer factors of 12537 that divides 12523 without a remainder.

1, 3, 7, 9, 21, 63, 199, 597, 1393, 1791, 4179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12523 and 12537. The biggest common factor number is the GCF number.
So the greatest common factor 12523 and 12537 is 7.

Also check out the Least Common Multiple of 12523 and 12537