What is the Greatest Common Factor of 50187 and 50193?

Greatest common factor (GCF) of 50187 and 50193 is 3.

GCF(50187,50193) = 3

We will now calculate the prime factors of 50187 and 50193, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50187 and 50193.

How to find the GCF of 50187 and 50193?

We will first find the prime factorization of 50187 and 50193. After we will calculate the factors of 50187 and 50193 and find the biggest common factor number .

Step-1: Prime Factorization of 50187

Prime factors of 50187 are 3, 16729. Prime factorization of 50187 in exponential form is:

50187 = 3¹ × 16729¹

Step-2: Prime Factorization of 50193

Prime factors of 50193 are 3, 11, 13. Prime factorization of 50193 in exponential form is:

50193 = 3³ × 11¹ × 13²

Step-3: Factors of 50187

List of positive integer factors of 50187 that divides 50187 without a remainder.

1, 3, 16729

Step-4: Factors of 50193

List of positive integer factors of 50193 that divides 50187 without a remainder.

1, 3, 9, 11, 13, 27, 33, 39, 99, 117, 143, 169, 297, 351, 429, 507, 1287, 1521, 1859, 3861, 4563, 5577, 16731

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50187 and 50193. The biggest common factor number is the GCF number.
So the greatest common factor 50187 and 50193 is 3.

Also check out the Least Common Multiple of 50187 and 50193