What is the Greatest Common Factor of 64380 and 64395?

Greatest common factor (GCF) of 64380 and 64395 is 15.

GCF(64380,64395) = 15

We will now calculate the prime factors of 64380 and 64395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64380 and 64395.

How to find the GCF of 64380 and 64395?

We will first find the prime factorization of 64380 and 64395. After we will calculate the factors of 64380 and 64395 and find the biggest common factor number .

Step-1: Prime Factorization of 64380

Prime factors of 64380 are 2, 3, 5, 29, 37. Prime factorization of 64380 in exponential form is:

64380 = 2² × 3¹ × 5¹ × 29¹ × 37¹

Step-2: Prime Factorization of 64395

Prime factors of 64395 are 3, 5, 53. Prime factorization of 64395 in exponential form is:

64395 = 3⁵ × 5¹ × 53¹

Step-3: Factors of 64380

List of positive integer factors of 64380 that divides 64380 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 29, 30, 37, 58, 60, 74, 87, 111, 116, 145, 148, 174, 185, 222, 290, 348, 370, 435, 444, 555, 580, 740, 870, 1073, 1110, 1740, 2146, 2220, 3219, 4292, 5365, 6438, 10730, 12876, 16095, 21460, 32190

Step-4: Factors of 64395

List of positive integer factors of 64395 that divides 64380 without a remainder.

1, 3, 5, 9, 15, 27, 45, 53, 81, 135, 159, 243, 265, 405, 477, 795, 1215, 1431, 2385, 4293, 7155, 12879, 21465

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64380 and 64395. The biggest common factor number is the GCF number.
So the greatest common factor 64380 and 64395 is 15.

Also check out the Least Common Multiple of 64380 and 64395