What is the Greatest Common Factor of 50184 and 50199?

Greatest common factor (GCF) of 50184 and 50199 is 3.

GCF(50184,50199) = 3

We will now calculate the prime factors of 50184 and 50199, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50184 and 50199.

How to find the GCF of 50184 and 50199?

We will first find the prime factorization of 50184 and 50199. After we will calculate the factors of 50184 and 50199 and find the biggest common factor number .

Step-1: Prime Factorization of 50184

Prime factors of 50184 are 2, 3, 17, 41. Prime factorization of 50184 in exponential form is:

50184 = 2³ × 3² × 17¹ × 41¹

Step-2: Prime Factorization of 50199

Prime factors of 50199 are 3, 29, 577. Prime factorization of 50199 in exponential form is:

50199 = 3¹ × 29¹ × 577¹

Step-3: Factors of 50184

List of positive integer factors of 50184 that divides 50184 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 17, 18, 24, 34, 36, 41, 51, 68, 72, 82, 102, 123, 136, 153, 164, 204, 246, 306, 328, 369, 408, 492, 612, 697, 738, 984, 1224, 1394, 1476, 2091, 2788, 2952, 4182, 5576, 6273, 8364, 12546, 16728, 25092

Step-4: Factors of 50199

List of positive integer factors of 50199 that divides 50184 without a remainder.

1, 3, 29, 87, 577, 1731, 16733

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50184 and 50199. The biggest common factor number is the GCF number.
So the greatest common factor 50184 and 50199 is 3.

Also check out the Least Common Multiple of 50184 and 50199