What is the Greatest Common Factor of 60384 and 60396?

Greatest common factor (GCF) of 60384 and 60396 is 12.

GCF(60384,60396) = 12

We will now calculate the prime factors of 60384 and 60396, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 60384 and 60396.

How to find the GCF of 60384 and 60396?

We will first find the prime factorization of 60384 and 60396. After we will calculate the factors of 60384 and 60396 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 60396

Prime factors of 60396 are 2, 3, 7, 719. Prime factorization of 60396 in exponential form is:

60396 = 2² × 3¹ × 7¹ × 719¹

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 60396

List of positive integer factors of 60396 that divides 60384 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 719, 1438, 2157, 2876, 4314, 5033, 8628, 10066, 15099, 20132, 30198

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 60384 and 60396. The biggest common factor number is the GCF number.
So the greatest common factor 60384 and 60396 is 12.

Also check out the Least Common Multiple of 60384 and 60396