What is the Greatest Common Factor of 12559 and 12578?

Greatest common factor (GCF) of 12559 and 12578 is 19.

GCF(12559,12578) = 19

We will now calculate the prime factors of 12559 and 12578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12559 and 12578.

How to find the GCF of 12559 and 12578?

We will first find the prime factorization of 12559 and 12578. After we will calculate the factors of 12559 and 12578 and find the biggest common factor number .

Step-1: Prime Factorization of 12559

Prime factors of 12559 are 19, 661. Prime factorization of 12559 in exponential form is:

12559 = 19¹ × 661¹

Step-2: Prime Factorization of 12578

Prime factors of 12578 are 2, 19, 331. Prime factorization of 12578 in exponential form is:

12578 = 2¹ × 19¹ × 331¹

Step-3: Factors of 12559

List of positive integer factors of 12559 that divides 12559 without a remainder.

1, 19, 661

Step-4: Factors of 12578

List of positive integer factors of 12578 that divides 12559 without a remainder.

1, 2, 19, 38, 331, 662, 6289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12559 and 12578. The biggest common factor number is the GCF number.
So the greatest common factor 12559 and 12578 is 19.

Also check out the Least Common Multiple of 12559 and 12578