What is the Greatest Common Factor of 50382 and 50399?

Greatest common factor (GCF) of 50382 and 50399 is 1.

GCF(50382,50399) = 1

We will now calculate the prime factors of 50382 and 50399, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50382 and 50399.

How to find the GCF of 50382 and 50399?

We will first find the prime factorization of 50382 and 50399. After we will calculate the factors of 50382 and 50399 and find the biggest common factor number .

Step-1: Prime Factorization of 50382

Prime factors of 50382 are 2, 3, 311. Prime factorization of 50382 in exponential form is:

50382 = 2¹ × 3⁴ × 311¹

Step-2: Prime Factorization of 50399

Prime factors of 50399 are 101, 499. Prime factorization of 50399 in exponential form is:

50399 = 101¹ × 499¹

Step-3: Factors of 50382

List of positive integer factors of 50382 that divides 50382 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 311, 622, 933, 1866, 2799, 5598, 8397, 16794, 25191

Step-4: Factors of 50399

List of positive integer factors of 50399 that divides 50382 without a remainder.

1, 101, 499

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50382 and 50399. The biggest common factor number is the GCF number.
So the greatest common factor 50382 and 50399 is 1.

Also check out the Least Common Multiple of 50382 and 50399