What is the Greatest Common Factor of 66384 and 66390?

Greatest common factor (GCF) of 66384 and 66390 is 6.

GCF(66384,66390) = 6

We will now calculate the prime factors of 66384 and 66390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66384 and 66390.

How to find the GCF of 66384 and 66390?

We will first find the prime factorization of 66384 and 66390. After we will calculate the factors of 66384 and 66390 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 66390

Prime factors of 66390 are 2, 3, 5, 2213. Prime factorization of 66390 in exponential form is:

66390 = 2¹ × 3¹ × 5¹ × 2213¹

Step-3: Factors of 66384

List of positive integer factors of 66384 that divides 66384 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

Step-4: Factors of 66390

List of positive integer factors of 66390 that divides 66384 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 2213, 4426, 6639, 11065, 13278, 22130, 33195

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66384 and 66390. The biggest common factor number is the GCF number.
So the greatest common factor 66384 and 66390 is 6.

Also check out the Least Common Multiple of 66384 and 66390