What is the Greatest Common Factor of 50382 and 50397?

Greatest common factor (GCF) of 50382 and 50397 is 3.

GCF(50382,50397) = 3

We will now calculate the prime factors of 50382 and 50397, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50382 and 50397.

How to find the GCF of 50382 and 50397?

We will first find the prime factorization of 50382 and 50397. After we will calculate the factors of 50382 and 50397 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 50397

Prime factors of 50397 are 3, 107, 157. Prime factorization of 50397 in exponential form is:

50397 = 3¹ × 107¹ × 157¹

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 50397

List of positive integer factors of 50397 that divides 50382 without a remainder.

1, 3, 107, 157, 321, 471, 16799

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50382 and 50397. The biggest common factor number is the GCF number.
So the greatest common factor 50382 and 50397 is 3.

Also check out the Least Common Multiple of 50382 and 50397