What is the Greatest Common Factor of 50301 and 50306?

Greatest common factor (GCF) of 50301 and 50306 is 1.

GCF(50301,50306) = 1

We will now calculate the prime factors of 50301 and 50306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50301 and 50306.

How to find the GCF of 50301 and 50306?

We will first find the prime factorization of 50301 and 50306. After we will calculate the factors of 50301 and 50306 and find the biggest common factor number .

Step-1: Prime Factorization of 50301

Prime factors of 50301 are 3, 23. Prime factorization of 50301 in exponential form is:

50301 = 3⁷ × 23¹

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 50301

List of positive integer factors of 50301 that divides 50301 without a remainder.

1, 3, 9, 23, 27, 69, 81, 207, 243, 621, 729, 1863, 2187, 5589, 16767

Step-4: Factors of 50306

List of positive integer factors of 50306 that divides 50301 without a remainder.

1, 2, 25153

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50301 and 50306. The biggest common factor number is the GCF number.
So the greatest common factor 50301 and 50306 is 1.

Also check out the Least Common Multiple of 50301 and 50306