What is the Greatest Common Factor of 50005 and 50021?

Greatest common factor (GCF) of 50005 and 50021 is 1.

GCF(50005,50021) = 1

We will now calculate the prime factors of 50005 and 50021, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50005 and 50021.

How to find the GCF of 50005 and 50021?

We will first find the prime factorization of 50005 and 50021. After we will calculate the factors of 50005 and 50021 and find the biggest common factor number .

Step-1: Prime Factorization of 50005

Prime factors of 50005 are 5, 73, 137. Prime factorization of 50005 in exponential form is:

50005 = 5¹ × 73¹ × 137¹

Step-2: Prime Factorization of 50021

Prime factors of 50021 are 50021. Prime factorization of 50021 in exponential form is:

50021 = 50021¹

Step-3: Factors of 50005

List of positive integer factors of 50005 that divides 50005 without a remainder.

1, 5, 73, 137, 365, 685, 10001

Step-4: Factors of 50021

List of positive integer factors of 50021 that divides 50005 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50005 and 50021. The biggest common factor number is the GCF number.
So the greatest common factor 50005 and 50021 is 1.

Also check out the Least Common Multiple of 50005 and 50021