What is the Greatest Common Factor of 66384 and 66396?

Greatest common factor (GCF) of 66384 and 66396 is 12.

GCF(66384,66396) = 12

We will now calculate the prime factors of 66384 and 66396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66384 and 66396.

How to find the GCF of 66384 and 66396?

We will first find the prime factorization of 66384 and 66396. After we will calculate the factors of 66384 and 66396 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 66396

Prime factors of 66396 are 2, 3, 11, 503. Prime factorization of 66396 in exponential form is:

66396 = 2² × 3¹ × 11¹ × 503¹

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 66396

List of positive integer factors of 66396 that divides 66384 without a remainder.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132, 503, 1006, 1509, 2012, 3018, 5533, 6036, 11066, 16599, 22132, 33198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66384 and 66396. The biggest common factor number is the GCF number.
So the greatest common factor 66384 and 66396 is 12.

Also check out the Least Common Multiple of 66384 and 66396