What is the Greatest Common Factor of 12633 and 12642?

Greatest common factor (GCF) of 12633 and 12642 is 3.

GCF(12633,12642) = 3

We will now calculate the prime factors of 12633 and 12642, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12633 and 12642.

How to find the GCF of 12633 and 12642?

We will first find the prime factorization of 12633 and 12642. After we will calculate the factors of 12633 and 12642 and find the biggest common factor number .

Step-1: Prime Factorization of 12633

Prime factors of 12633 are 3, 4211. Prime factorization of 12633 in exponential form is:

12633 = 3¹ × 4211¹

Step-2: 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-3: Factors of 12633

List of positive integer factors of 12633 that divides 12633 without a remainder.

1, 3, 4211

Step-4: Factors of 12642

List of positive integer factors of 12642 that divides 12633 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12633 and 12642. The biggest common factor number is the GCF number.
So the greatest common factor 12633 and 12642 is 3.

Also check out the Least Common Multiple of 12633 and 12642