What is the Greatest Common Factor of 12648 and 12658?

Greatest common factor (GCF) of 12648 and 12658 is 2.

GCF(12648,12658) = 2

We will now calculate the prime factors of 12648 and 12658, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12648 and 12658.

How to find the GCF of 12648 and 12658?

We will first find the prime factorization of 12648 and 12658. After we will calculate the factors of 12648 and 12658 and find the biggest common factor number .

Step-1: Prime Factorization of 12648

Prime factors of 12648 are 2, 3, 17, 31. Prime factorization of 12648 in exponential form is:

12648 = 2³ × 3¹ × 17¹ × 31¹

Step-2: Prime Factorization of 12658

Prime factors of 12658 are 2, 6329. Prime factorization of 12658 in exponential form is:

12658 = 2¹ × 6329¹

Step-3: Factors of 12648

List of positive integer factors of 12648 that divides 12648 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 31, 34, 51, 62, 68, 93, 102, 124, 136, 186, 204, 248, 372, 408, 527, 744, 1054, 1581, 2108, 3162, 4216, 6324

Step-4: Factors of 12658

List of positive integer factors of 12658 that divides 12648 without a remainder.

1, 2, 6329

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12648 and 12658. The biggest common factor number is the GCF number.
So the greatest common factor 12648 and 12658 is 2.

Also check out the Least Common Multiple of 12648 and 12658