What is the Greatest Common Factor of 50286 and 50306?

Greatest common factor (GCF) of 50286 and 50306 is 2.

GCF(50286,50306) = 2

We will now calculate the prime factors of 50286 and 50306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50286 and 50306.

How to find the GCF of 50286 and 50306?

We will first find the prime factorization of 50286 and 50306. After we will calculate the factors of 50286 and 50306 and find the biggest common factor number .

Step-1: Prime Factorization of 50286

Prime factors of 50286 are 2, 3, 17, 29. Prime factorization of 50286 in exponential form is:

50286 = 2¹ × 3¹ × 17² × 29¹

Step-2: Prime Factorization of 50306

Prime factors of 50306 are 2, 25153. Prime factorization of 50306 in exponential form is:

50306 = 2¹ × 25153¹

Step-3: Factors of 50286

List of positive integer factors of 50286 that divides 50286 without a remainder.

1, 2, 3, 6, 17, 29, 34, 51, 58, 87, 102, 174, 289, 493, 578, 867, 986, 1479, 1734, 2958, 8381, 16762, 25143

Step-4: Factors of 50306

List of positive integer factors of 50306 that divides 50286 without a remainder.

1, 2, 25153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50286 and 50306. The biggest common factor number is the GCF number.
So the greatest common factor 50286 and 50306 is 2.

Also check out the Least Common Multiple of 50286 and 50306