What is the Greatest Common Factor of 21648 and 21660?

Greatest common factor (GCF) of 21648 and 21660 is 12.

GCF(21648,21660) = 12

We will now calculate the prime factors of 21648 and 21660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21648 and 21660.

How to find the GCF of 21648 and 21660?

We will first find the prime factorization of 21648 and 21660. After we will calculate the factors of 21648 and 21660 and find the biggest common factor number .

Step-1: Prime Factorization of 21648

Prime factors of 21648 are 2, 3, 11, 41. Prime factorization of 21648 in exponential form is:

21648 = 2⁴ × 3¹ × 11¹ × 41¹

Step-2: Prime Factorization of 21660

Prime factors of 21660 are 2, 3, 5, 19. Prime factorization of 21660 in exponential form is:

21660 = 2² × 3¹ × 5¹ × 19²

Step-3: Factors of 21648

List of positive integer factors of 21648 that divides 21648 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 41, 44, 48, 66, 82, 88, 123, 132, 164, 176, 246, 264, 328, 451, 492, 528, 656, 902, 984, 1353, 1804, 1968, 2706, 3608, 5412, 7216, 10824

Step-4: Factors of 21660

List of positive integer factors of 21660 that divides 21648 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 361, 380, 570, 722, 1083, 1140, 1444, 1805, 2166, 3610, 4332, 5415, 7220, 10830

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21648 and 21660. The biggest common factor number is the GCF number.
So the greatest common factor 21648 and 21660 is 12.

Also check out the Least Common Multiple of 21648 and 21660