What is the Greatest Common Factor of 50369 and 50382?

Greatest common factor (GCF) of 50369 and 50382 is 1.

GCF(50369,50382) = 1

We will now calculate the prime factors of 50369 and 50382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50369 and 50382.

How to find the GCF of 50369 and 50382?

We will first find the prime factorization of 50369 and 50382. After we will calculate the factors of 50369 and 50382 and find the biggest common factor number .

Step-1: Prime Factorization of 50369

Prime factors of 50369 are 11, 19, 241. Prime factorization of 50369 in exponential form is:

50369 = 11¹ × 19¹ × 241¹

Step-2: 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-3: Factors of 50369

List of positive integer factors of 50369 that divides 50369 without a remainder.

1, 11, 19, 209, 241, 2651, 4579

Step-4: Factors of 50382

List of positive integer factors of 50382 that divides 50369 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50369 and 50382. The biggest common factor number is the GCF number.
So the greatest common factor 50369 and 50382 is 1.

Also check out the Least Common Multiple of 50369 and 50382