What is the Greatest Common Factor of 12642 and 12659?

Greatest common factor (GCF) of 12642 and 12659 is 1.

GCF(12642,12659) = 1

We will now calculate the prime factors of 12642 and 12659, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12642 and 12659.

How to find the GCF of 12642 and 12659?

We will first find the prime factorization of 12642 and 12659. After we will calculate the factors of 12642 and 12659 and find the biggest common factor number .

Step-1: Prime Factorization of 12642

Prime factors of 12642 are 2, 3, 7, 43. Prime factorization of 12642 in exponential form is:

12642 = 2¹ × 3¹ × 7² × 43¹

Step-2: Prime Factorization of 12659

Prime factors of 12659 are 12659. Prime factorization of 12659 in exponential form is:

12659 = 12659¹

Step-3: Factors of 12642

List of positive integer factors of 12642 that divides 12642 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 43, 49, 86, 98, 129, 147, 258, 294, 301, 602, 903, 1806, 2107, 4214, 6321

Step-4: Factors of 12659

List of positive integer factors of 12659 that divides 12642 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12642 and 12659. The biggest common factor number is the GCF number.
So the greatest common factor 12642 and 12659 is 1.

Also check out the Least Common Multiple of 12642 and 12659