What is the Greatest Common Factor of 21648 and 21666?

Greatest common factor (GCF) of 21648 and 21666 is 6.

GCF(21648,21666) = 6

We will now calculate the prime factors of 21648 and 21666, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 21648 and 21666.

How to find the GCF of 21648 and 21666?

We will first find the prime factorization of 21648 and 21666. After we will calculate the factors of 21648 and 21666 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 21666

Prime factors of 21666 are 2, 3, 23, 157. Prime factorization of 21666 in exponential form is:

21666 = 2¹ × 3¹ × 23¹ × 157¹

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 21666

List of positive integer factors of 21666 that divides 21648 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138, 157, 314, 471, 942, 3611, 7222, 10833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 21648 and 21666. The biggest common factor number is the GCF number.
So the greatest common factor 21648 and 21666 is 6.

Also check out the Least Common Multiple of 21648 and 21666