What is the Greatest Common Factor of 50075 and 50089?

Greatest common factor (GCF) of 50075 and 50089 is 1.

GCF(50075,50089) = 1

We will now calculate the prime factors of 50075 and 50089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50075 and 50089.

How to find the GCF of 50075 and 50089?

We will first find the prime factorization of 50075 and 50089. After we will calculate the factors of 50075 and 50089 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 50089

Prime factors of 50089 are 13, 3853. Prime factorization of 50089 in exponential form is:

50089 = 13¹ × 3853¹

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 50089

List of positive integer factors of 50089 that divides 50075 without a remainder.

1, 13, 3853

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50075 and 50089. The biggest common factor number is the GCF number.
So the greatest common factor 50075 and 50089 is 1.

Also check out the Least Common Multiple of 50075 and 50089