What is the Greatest Common Factor of 12648 and 12660?

Greatest common factor (GCF) of 12648 and 12660 is 12.

GCF(12648,12660) = 12

We will now calculate the prime factors of 12648 and 12660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12648 and 12660.

How to find the GCF of 12648 and 12660?

We will first find the prime factorization of 12648 and 12660. After we will calculate the factors of 12648 and 12660 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 12660

Prime factors of 12660 are 2, 3, 5, 211. Prime factorization of 12660 in exponential form is:

12660 = 2² × 3¹ × 5¹ × 211¹

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 12660

List of positive integer factors of 12660 that divides 12648 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 211, 422, 633, 844, 1055, 1266, 2110, 2532, 3165, 4220, 6330

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12648 and 12660. The biggest common factor number is the GCF number.
So the greatest common factor 12648 and 12660 is 12.

Also check out the Least Common Multiple of 12648 and 12660