What is the Greatest Common Factor of 50584 and 50594?

Greatest common factor (GCF) of 50584 and 50594 is 2.

GCF(50584,50594) = 2

We will now calculate the prime factors of 50584 and 50594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50584 and 50594.

How to find the GCF of 50584 and 50594?

We will first find the prime factorization of 50584 and 50594. After we will calculate the factors of 50584 and 50594 and find the biggest common factor number .

Step-1: Prime Factorization of 50584

Prime factors of 50584 are 2, 6323. Prime factorization of 50584 in exponential form is:

50584 = 2³ × 6323¹

Step-2: Prime Factorization of 50594

Prime factors of 50594 are 2, 41, 617. Prime factorization of 50594 in exponential form is:

50594 = 2¹ × 41¹ × 617¹

Step-3: Factors of 50584

List of positive integer factors of 50584 that divides 50584 without a remainder.

1, 2, 4, 8, 6323, 12646, 25292

Step-4: Factors of 50594

List of positive integer factors of 50594 that divides 50584 without a remainder.

1, 2, 41, 82, 617, 1234, 25297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50584 and 50594. The biggest common factor number is the GCF number.
So the greatest common factor 50584 and 50594 is 2.

Also check out the Least Common Multiple of 50584 and 50594