What is the Greatest Common Factor of 50364 and 50382?

Greatest common factor (GCF) of 50364 and 50382 is 18.

GCF(50364,50382) = 18

We will now calculate the prime factors of 50364 and 50382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50364 and 50382.

How to find the GCF of 50364 and 50382?

We will first find the prime factorization of 50364 and 50382. After we will calculate the factors of 50364 and 50382 and find the biggest common factor number .

Step-1: Prime Factorization of 50364

Prime factors of 50364 are 2, 3, 1399. Prime factorization of 50364 in exponential form is:

50364 = 2² × 3² × 1399¹

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 50364

List of positive integer factors of 50364 that divides 50364 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 1399, 2798, 4197, 5596, 8394, 12591, 16788, 25182

Step-4: Factors of 50382

List of positive integer factors of 50382 that divides 50364 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 50364 and 50382. The biggest common factor number is the GCF number.
So the greatest common factor 50364 and 50382 is 18.

Also check out the Least Common Multiple of 50364 and 50382