What is the Greatest Common Factor of 12582 and 12587?

Greatest common factor (GCF) of 12582 and 12587 is 1.

GCF(12582,12587) = 1

We will now calculate the prime factors of 12582 and 12587, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12582 and 12587.

How to find the GCF of 12582 and 12587?

We will first find the prime factorization of 12582 and 12587. After we will calculate the factors of 12582 and 12587 and find the biggest common factor number .

Step-1: Prime Factorization of 12582

Prime factors of 12582 are 2, 3, 233. Prime factorization of 12582 in exponential form is:

12582 = 2¹ × 3³ × 233¹

Step-2: Prime Factorization of 12587

Prime factors of 12587 are 41, 307. Prime factorization of 12587 in exponential form is:

12587 = 41¹ × 307¹

Step-3: Factors of 12582

List of positive integer factors of 12582 that divides 12582 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 233, 466, 699, 1398, 2097, 4194, 6291

Step-4: Factors of 12587

List of positive integer factors of 12587 that divides 12582 without a remainder.

1, 41, 307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12582 and 12587. The biggest common factor number is the GCF number.
So the greatest common factor 12582 and 12587 is 1.

Also check out the Least Common Multiple of 12582 and 12587