What is the Greatest Common Factor of 66384 and 66400?

Greatest common factor (GCF) of 66384 and 66400 is 16.

GCF(66384,66400) = 16

We will now calculate the prime factors of 66384 and 66400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66384 and 66400.

How to find the GCF of 66384 and 66400?

We will first find the prime factorization of 66384 and 66400. After we will calculate the factors of 66384 and 66400 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 66400

Prime factors of 66400 are 2, 5, 83. Prime factorization of 66400 in exponential form is:

66400 = 2⁵ × 5² × 83¹

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 66400

List of positive integer factors of 66400 that divides 66384 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 83, 100, 160, 166, 200, 332, 400, 415, 664, 800, 830, 1328, 1660, 2075, 2656, 3320, 4150, 6640, 8300, 13280, 16600, 33200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66384 and 66400. The biggest common factor number is the GCF number.
So the greatest common factor 66384 and 66400 is 16.

Also check out the Least Common Multiple of 66384 and 66400