What is the Greatest Common Factor of 50589 and 50598?

Greatest common factor (GCF) of 50589 and 50598 is 9.

GCF(50589,50598) = 9

We will now calculate the prime factors of 50589 and 50598, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50589 and 50598.

How to find the GCF of 50589 and 50598?

We will first find the prime factorization of 50589 and 50598. After we will calculate the factors of 50589 and 50598 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 50598

Prime factors of 50598 are 2, 3, 937. Prime factorization of 50598 in exponential form is:

50598 = 2¹ × 3³ × 937¹

Step-3: Factors of 50589

List of positive integer factors of 50589 that divides 50589 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

Step-4: Factors of 50598

List of positive integer factors of 50598 that divides 50589 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 937, 1874, 2811, 5622, 8433, 16866, 25299

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50589 and 50598. The biggest common factor number is the GCF number.
So the greatest common factor 50589 and 50598 is 9.

Also check out the Least Common Multiple of 50589 and 50598