What is the Greatest Common Factor of 60384 and 60399?

Greatest common factor (GCF) of 60384 and 60399 is 3.

GCF(60384,60399) = 3

We will now calculate the prime factors of 60384 and 60399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60384 and 60399.

How to find the GCF of 60384 and 60399?

We will first find the prime factorization of 60384 and 60399. After we will calculate the factors of 60384 and 60399 and find the biggest common factor number .

Step-1: Prime Factorization of 60384

Prime factors of 60384 are 2, 3, 17, 37. Prime factorization of 60384 in exponential form is:

60384 = 2⁵ × 3¹ × 17¹ × 37¹

Step-2: Prime Factorization of 60399

Prime factors of 60399 are 3, 2237. Prime factorization of 60399 in exponential form is:

60399 = 3³ × 2237¹

Step-3: Factors of 60384

List of positive integer factors of 60384 that divides 60384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 32, 34, 37, 48, 51, 68, 74, 96, 102, 111, 136, 148, 204, 222, 272, 296, 408, 444, 544, 592, 629, 816, 888, 1184, 1258, 1632, 1776, 1887, 2516, 3552, 3774, 5032, 7548, 10064, 15096, 20128, 30192

Step-4: Factors of 60399

List of positive integer factors of 60399 that divides 60384 without a remainder.

1, 3, 9, 27, 2237, 6711, 20133

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60384 and 60399. The biggest common factor number is the GCF number.
So the greatest common factor 60384 and 60399 is 3.

Also check out the Least Common Multiple of 60384 and 60399