What is the Greatest Common Factor of 30192 and 30204?

Greatest common factor (GCF) of 30192 and 30204 is 12.

GCF(30192,30204) = 12

We will now calculate the prime factors of 30192 and 30204, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 30192 and 30204.

How to find the GCF of 30192 and 30204?

We will first find the prime factorization of 30192 and 30204. After we will calculate the factors of 30192 and 30204 and find the biggest common factor number .

Step-1: Prime Factorization of 30192

Prime factors of 30192 are 2, 3, 17, 37. Prime factorization of 30192 in exponential form is:

30192 = 2⁴ × 3¹ × 17¹ × 37¹

Step-2: Prime Factorization of 30204

Prime factors of 30204 are 2, 3, 839. Prime factorization of 30204 in exponential form is:

30204 = 2² × 3² × 839¹

Step-3: Factors of 30192

List of positive integer factors of 30192 that divides 30192 without a remainder.

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

Step-4: Factors of 30204

List of positive integer factors of 30204 that divides 30192 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 839, 1678, 2517, 3356, 5034, 7551, 10068, 15102

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 30192 and 30204. The biggest common factor number is the GCF number.
So the greatest common factor 30192 and 30204 is 12.

Also check out the Least Common Multiple of 30192 and 30204