What is the Greatest Common Factor of 64380 and 64389?

Greatest common factor (GCF) of 64380 and 64389 is 3.

GCF(64380,64389) = 3

We will now calculate the prime factors of 64380 and 64389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64380 and 64389.

How to find the GCF of 64380 and 64389?

We will first find the prime factorization of 64380 and 64389. After we will calculate the factors of 64380 and 64389 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 64389

Prime factors of 64389 are 3, 13, 127. Prime factorization of 64389 in exponential form is:

64389 = 3¹ × 13² × 127¹

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 64389

List of positive integer factors of 64389 that divides 64380 without a remainder.

1, 3, 13, 39, 127, 169, 381, 507, 1651, 4953, 21463

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64380 and 64389. The biggest common factor number is the GCF number.
So the greatest common factor 64380 and 64389 is 3.

Also check out the Least Common Multiple of 64380 and 64389