What is the Greatest Common Factor of 50589 and 50600?

Greatest common factor (GCF) of 50589 and 50600 is 11.

GCF(50589,50600) = 11

We will now calculate the prime factors of 50589 and 50600, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50589 and 50600.

How to find the GCF of 50589 and 50600?

We will first find the prime factorization of 50589 and 50600. After we will calculate the factors of 50589 and 50600 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 50600

Prime factors of 50600 are 2, 5, 11, 23. Prime factorization of 50600 in exponential form is:

50600 = 2³ × 5² × 11¹ × 23¹

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 50600

List of positive integer factors of 50600 that divides 50589 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 23, 25, 40, 44, 46, 50, 55, 88, 92, 100, 110, 115, 184, 200, 220, 230, 253, 275, 440, 460, 506, 550, 575, 920, 1012, 1100, 1150, 1265, 2024, 2200, 2300, 2530, 4600, 5060, 6325, 10120, 12650, 25300

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50589 and 50600. The biggest common factor number is the GCF number.
So the greatest common factor 50589 and 50600 is 11.

Also check out the Least Common Multiple of 50589 and 50600