What is the Greatest Common Factor of 66364 and 66384?

Greatest common factor (GCF) of 66364 and 66384 is 4.

GCF(66364,66384) = 4

We will now calculate the prime factors of 66364 and 66384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66364 and 66384.

How to find the GCF of 66364 and 66384?

We will first find the prime factorization of 66364 and 66384. After we will calculate the factors of 66364 and 66384 and find the biggest common factor number .

Step-1: Prime Factorization of 66364

Prime factors of 66364 are 2, 47, 353. Prime factorization of 66364 in exponential form is:

66364 = 2² × 47¹ × 353¹

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 66364

List of positive integer factors of 66364 that divides 66364 without a remainder.

1, 2, 4, 47, 94, 188, 353, 706, 1412, 16591, 33182

Step-4: Factors of 66384

List of positive integer factors of 66384 that divides 66364 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 66364 and 66384. The biggest common factor number is the GCF number.
So the greatest common factor 66364 and 66384 is 4.

Also check out the Least Common Multiple of 66364 and 66384