What is the Greatest Common Factor of 64380 and 64385?

Greatest common factor (GCF) of 64380 and 64385 is 5.

GCF(64380,64385) = 5

We will now calculate the prime factors of 64380 and 64385, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64380 and 64385.

How to find the GCF of 64380 and 64385?

We will first find the prime factorization of 64380 and 64385. After we will calculate the factors of 64380 and 64385 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 64385

Prime factors of 64385 are 5, 79, 163. Prime factorization of 64385 in exponential form is:

64385 = 5¹ × 79¹ × 163¹

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 64385

List of positive integer factors of 64385 that divides 64380 without a remainder.

1, 5, 79, 163, 395, 815, 12877

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64380 and 64385. The biggest common factor number is the GCF number.
So the greatest common factor 64380 and 64385 is 5.

Also check out the Least Common Multiple of 64380 and 64385