What is the Greatest Common Factor of 60372 and 60384?

Greatest common factor (GCF) of 60372 and 60384 is 12.

GCF(60372,60384) = 12

We will now calculate the prime factors of 60372 and 60384, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60372 and 60384.

How to find the GCF of 60372 and 60384?

We will first find the prime factorization of 60372 and 60384. After we will calculate the factors of 60372 and 60384 and find the biggest common factor number .

Step-1: Prime Factorization of 60372

Prime factors of 60372 are 2, 3, 13, 43. Prime factorization of 60372 in exponential form is:

60372 = 2² × 3³ × 13¹ × 43¹

Step-2: 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-3: Factors of 60372

List of positive integer factors of 60372 that divides 60372 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 43, 52, 54, 78, 86, 108, 117, 129, 156, 172, 234, 258, 351, 387, 468, 516, 559, 702, 774, 1118, 1161, 1404, 1548, 1677, 2236, 2322, 3354, 4644, 5031, 6708, 10062, 15093, 20124, 30186

Step-4: Factors of 60384

List of positive integer factors of 60384 that divides 60372 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60372 and 60384. The biggest common factor number is the GCF number.
So the greatest common factor 60372 and 60384 is 12.

Also check out the Least Common Multiple of 60372 and 60384