What is the Greatest Common Factor of 60384 and 60400?

Greatest common factor (GCF) of 60384 and 60400 is 16.

GCF(60384,60400) = 16

We will now calculate the prime factors of 60384 and 60400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60384 and 60400.

How to find the GCF of 60384 and 60400?

We will first find the prime factorization of 60384 and 60400. After we will calculate the factors of 60384 and 60400 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 60400

Prime factors of 60400 are 2, 5, 151. Prime factorization of 60400 in exponential form is:

60400 = 2⁴ × 5² × 151¹

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 60400

List of positive integer factors of 60400 that divides 60384 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 151, 200, 302, 400, 604, 755, 1208, 1510, 2416, 3020, 3775, 6040, 7550, 12080, 15100, 30200

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60384 and 60400. The biggest common factor number is the GCF number.
So the greatest common factor 60384 and 60400 is 16.

Also check out the Least Common Multiple of 60384 and 60400