What is the Greatest Common Factor of 50005 and 50018?

Greatest common factor (GCF) of 50005 and 50018 is 1.

GCF(50005,50018) = 1

We will now calculate the prime factors of 50005 and 50018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50005 and 50018.

How to find the GCF of 50005 and 50018?

We will first find the prime factorization of 50005 and 50018. After we will calculate the factors of 50005 and 50018 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 50018

Prime factors of 50018 are 2, 89, 281. Prime factorization of 50018 in exponential form is:

50018 = 2¹ × 89¹ × 281¹

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 50018

List of positive integer factors of 50018 that divides 50005 without a remainder.

1, 2, 89, 178, 281, 562, 25009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50005 and 50018. The biggest common factor number is the GCF number.
So the greatest common factor 50005 and 50018 is 1.

Also check out the Least Common Multiple of 50005 and 50018