What is the Greatest Common Factor of 50175 and 50190?

Greatest common factor (GCF) of 50175 and 50190 is 15.

GCF(50175,50190) = 15

We will now calculate the prime factors of 50175 and 50190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50175 and 50190.

How to find the GCF of 50175 and 50190?

We will first find the prime factorization of 50175 and 50190. After we will calculate the factors of 50175 and 50190 and find the biggest common factor number .

Step-1: Prime Factorization of 50175

Prime factors of 50175 are 3, 5, 223. Prime factorization of 50175 in exponential form is:

50175 = 3² × 5² × 223¹

Step-2: Prime Factorization of 50190

Prime factors of 50190 are 2, 3, 5, 7, 239. Prime factorization of 50190 in exponential form is:

50190 = 2¹ × 3¹ × 5¹ × 7¹ × 239¹

Step-3: Factors of 50175

List of positive integer factors of 50175 that divides 50175 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 223, 225, 669, 1115, 2007, 3345, 5575, 10035, 16725

Step-4: Factors of 50190

List of positive integer factors of 50190 that divides 50175 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210, 239, 478, 717, 1195, 1434, 1673, 2390, 3346, 3585, 5019, 7170, 8365, 10038, 16730, 25095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50175 and 50190. The biggest common factor number is the GCF number.
So the greatest common factor 50175 and 50190 is 15.

Also check out the Least Common Multiple of 50175 and 50190