What is the Greatest Common Factor of 50006 and 50018?

Greatest common factor (GCF) of 50006 and 50018 is 2.

GCF(50006,50018) = 2

We will now calculate the prime factors of 50006 and 50018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50006 and 50018.

How to find the GCF of 50006 and 50018?

We will first find the prime factorization of 50006 and 50018. After we will calculate the factors of 50006 and 50018 and find the biggest common factor number .

Step-1: Prime Factorization of 50006

Prime factors of 50006 are 2, 11, 2273. Prime factorization of 50006 in exponential form is:

50006 = 2¹ × 11¹ × 2273¹

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 50006

List of positive integer factors of 50006 that divides 50006 without a remainder.

1, 2, 11, 22, 2273, 4546, 25003

Step-4: Factors of 50018

List of positive integer factors of 50018 that divides 50006 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50006 and 50018. The biggest common factor number is the GCF number.
So the greatest common factor 50006 and 50018 is 2.

Also check out the Least Common Multiple of 50006 and 50018