What is the Greatest Common Factor of 50583 and 50589?

Greatest common factor (GCF) of 50583 and 50589 is 3.

GCF(50583,50589) = 3

We will now calculate the prime factors of 50583 and 50589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50583 and 50589.

How to find the GCF of 50583 and 50589?

We will first find the prime factorization of 50583 and 50589. After we will calculate the factors of 50583 and 50589 and find the biggest common factor number .

Step-1: Prime Factorization of 50583

Prime factors of 50583 are 3, 13, 1297. Prime factorization of 50583 in exponential form is:

50583 = 3¹ × 13¹ × 1297¹

Step-2: Prime Factorization of 50589

Prime factors of 50589 are 3, 7, 11, 73. Prime factorization of 50589 in exponential form is:

50589 = 3² × 7¹ × 11¹ × 73¹

Step-3: Factors of 50583

List of positive integer factors of 50583 that divides 50583 without a remainder.

1, 3, 13, 39, 1297, 3891, 16861

Step-4: Factors of 50589

List of positive integer factors of 50589 that divides 50583 without a remainder.

1, 3, 7, 9, 11, 21, 33, 63, 73, 77, 99, 219, 231, 511, 657, 693, 803, 1533, 2409, 4599, 5621, 7227, 16863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50583 and 50589. The biggest common factor number is the GCF number.
So the greatest common factor 50583 and 50589 is 3.

Also check out the Least Common Multiple of 50583 and 50589