What is the Greatest Common Factor of 66366 and 66384?

Greatest common factor (GCF) of 66366 and 66384 is 18.

GCF(66366,66384) = 18

We will now calculate the prime factors of 66366 and 66384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66366 and 66384.

How to find the GCF of 66366 and 66384?

We will first find the prime factorization of 66366 and 66384. After we will calculate the factors of 66366 and 66384 and find the biggest common factor number .

Step-1: Prime Factorization of 66366

Prime factors of 66366 are 2, 3, 1229. Prime factorization of 66366 in exponential form is:

66366 = 2¹ × 3³ × 1229¹

Step-2: Prime Factorization of 66384

Prime factors of 66384 are 2, 3, 461. Prime factorization of 66384 in exponential form is:

66384 = 2⁴ × 3² × 461¹

Step-3: Factors of 66366

List of positive integer factors of 66366 that divides 66366 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 1229, 2458, 3687, 7374, 11061, 22122, 33183

Step-4: Factors of 66384

List of positive integer factors of 66384 that divides 66366 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 461, 922, 1383, 1844, 2766, 3688, 4149, 5532, 7376, 8298, 11064, 16596, 22128, 33192

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66366 and 66384. The biggest common factor number is the GCF number.
So the greatest common factor 66366 and 66384 is 18.

Also check out the Least Common Multiple of 66366 and 66384