What is the Greatest Common Factor of 50075 and 50083?

Greatest common factor (GCF) of 50075 and 50083 is 1.

GCF(50075,50083) = 1

We will now calculate the prime factors of 50075 and 50083, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50075 and 50083.

How to find the GCF of 50075 and 50083?

We will first find the prime factorization of 50075 and 50083. After we will calculate the factors of 50075 and 50083 and find the biggest common factor number .

Step-1: Prime Factorization of 50075

Prime factors of 50075 are 5, 2003. Prime factorization of 50075 in exponential form is:

50075 = 5² × 2003¹

Step-2: Prime Factorization of 50083

Prime factors of 50083 are 11, 29, 157. Prime factorization of 50083 in exponential form is:

50083 = 11¹ × 29¹ × 157¹

Step-3: Factors of 50075

List of positive integer factors of 50075 that divides 50075 without a remainder.

1, 5, 25, 2003, 10015

Step-4: Factors of 50083

List of positive integer factors of 50083 that divides 50075 without a remainder.

1, 11, 29, 157, 319, 1727, 4553

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50075 and 50083. The biggest common factor number is the GCF number.
So the greatest common factor 50075 and 50083 is 1.

Also check out the Least Common Multiple of 50075 and 50083