What is the Greatest Common Factor of 50375 and 50389?

Greatest common factor (GCF) of 50375 and 50389 is 1.

GCF(50375,50389) = 1

We will now calculate the prime factors of 50375 and 50389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50375 and 50389.

How to find the GCF of 50375 and 50389?

We will first find the prime factorization of 50375 and 50389. After we will calculate the factors of 50375 and 50389 and find the biggest common factor number .

Step-1: Prime Factorization of 50375

Prime factors of 50375 are 5, 13, 31. Prime factorization of 50375 in exponential form is:

50375 = 5³ × 13¹ × 31¹

Step-2: Prime Factorization of 50389

Prime factors of 50389 are 41, 1229. Prime factorization of 50389 in exponential form is:

50389 = 41¹ × 1229¹

Step-3: Factors of 50375

List of positive integer factors of 50375 that divides 50375 without a remainder.

1, 5, 13, 25, 31, 65, 125, 155, 325, 403, 775, 1625, 2015, 3875, 10075

Step-4: Factors of 50389

List of positive integer factors of 50389 that divides 50375 without a remainder.

1, 41, 1229

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50375 and 50389. The biggest common factor number is the GCF number.
So the greatest common factor 50375 and 50389 is 1.

Also check out the Least Common Multiple of 50375 and 50389