What is the Greatest Common Factor of 50172 and 50184?

Greatest common factor (GCF) of 50172 and 50184 is 12.

GCF(50172,50184) = 12

We will now calculate the prime factors of 50172 and 50184, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50172 and 50184.

How to find the GCF of 50172 and 50184?

We will first find the prime factorization of 50172 and 50184. After we will calculate the factors of 50172 and 50184 and find the biggest common factor number .

Step-1: Prime Factorization of 50172

Prime factors of 50172 are 2, 3, 37, 113. Prime factorization of 50172 in exponential form is:

50172 = 2² × 3¹ × 37¹ × 113¹

Step-2: 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-3: Factors of 50172

List of positive integer factors of 50172 that divides 50172 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 113, 148, 222, 226, 339, 444, 452, 678, 1356, 4181, 8362, 12543, 16724, 25086

Step-4: Factors of 50184

List of positive integer factors of 50184 that divides 50172 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50172 and 50184. The biggest common factor number is the GCF number.
So the greatest common factor 50172 and 50184 is 12.

Also check out the Least Common Multiple of 50172 and 50184