What is the Greatest Common Factor of 50184 and 50194?

Greatest common factor (GCF) of 50184 and 50194 is 2.

GCF(50184,50194) = 2

We will now calculate the prime factors of 50184 and 50194, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50184 and 50194.

How to find the GCF of 50184 and 50194?

We will first find the prime factorization of 50184 and 50194. After we will calculate the factors of 50184 and 50194 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 50194

Prime factors of 50194 are 2, 25097. Prime factorization of 50194 in exponential form is:

50194 = 2¹ × 25097¹

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 50194

List of positive integer factors of 50194 that divides 50184 without a remainder.

1, 2, 25097

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50184 and 50194. The biggest common factor number is the GCF number.
So the greatest common factor 50184 and 50194 is 2.

Also check out the Least Common Multiple of 50184 and 50194