What is the Greatest Common Factor of 50376 and 50382?

Greatest common factor (GCF) of 50376 and 50382 is 6.

GCF(50376,50382) = 6

We will now calculate the prime factors of 50376 and 50382, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50376 and 50382.

How to find the GCF of 50376 and 50382?

We will first find the prime factorization of 50376 and 50382. After we will calculate the factors of 50376 and 50382 and find the biggest common factor number .

Step-1: Prime Factorization of 50376

Prime factors of 50376 are 2, 3, 2099. Prime factorization of 50376 in exponential form is:

50376 = 2³ × 3¹ × 2099¹

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 50376

List of positive integer factors of 50376 that divides 50376 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2099, 4198, 6297, 8396, 12594, 16792, 25188

Step-4: Factors of 50382

List of positive integer factors of 50382 that divides 50376 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 50376 and 50382. The biggest common factor number is the GCF number.
So the greatest common factor 50376 and 50382 is 6.

Also check out the Least Common Multiple of 50376 and 50382