What is the Greatest Common Factor of 64380 and 64399?

Greatest common factor (GCF) of 64380 and 64399 is 1.

GCF(64380,64399) = 1

We will now calculate the prime factors of 64380 and 64399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64380 and 64399.

How to find the GCF of 64380 and 64399?

We will first find the prime factorization of 64380 and 64399. After we will calculate the factors of 64380 and 64399 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 64399

Prime factors of 64399 are 64399. Prime factorization of 64399 in exponential form is:

64399 = 64399¹

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 64399

List of positive integer factors of 64399 that divides 64380 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64380 and 64399. The biggest common factor number is the GCF number.
So the greatest common factor 64380 and 64399 is 1.

Also check out the Least Common Multiple of 64380 and 64399