What is the Greatest Common Factor of 59184 and 59196?

Greatest common factor (GCF) of 59184 and 59196 is 12.

GCF(59184,59196) = 12

We will now calculate the prime factors of 59184 and 59196, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 59184 and 59196.

How to find the GCF of 59184 and 59196?

We will first find the prime factorization of 59184 and 59196. After we will calculate the factors of 59184 and 59196 and find the biggest common factor number .

Step-1: Prime Factorization of 59184

Prime factors of 59184 are 2, 3, 137. Prime factorization of 59184 in exponential form is:

59184 = 2⁴ × 3³ × 137¹

Step-2: Prime Factorization of 59196

Prime factors of 59196 are 2, 3, 4933. Prime factorization of 59196 in exponential form is:

59196 = 2² × 3¹ × 4933¹

Step-3: Factors of 59184

List of positive integer factors of 59184 that divides 59184 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 137, 144, 216, 274, 411, 432, 548, 822, 1096, 1233, 1644, 2192, 2466, 3288, 3699, 4932, 6576, 7398, 9864, 14796, 19728, 29592

Step-4: Factors of 59196

List of positive integer factors of 59196 that divides 59184 without a remainder.

1, 2, 3, 4, 6, 12, 4933, 9866, 14799, 19732, 29598

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 59184 and 59196. The biggest common factor number is the GCF number.
So the greatest common factor 59184 and 59196 is 12.

Also check out the Least Common Multiple of 59184 and 59196