What is the Greatest Common Factor of 50006 and 50020?

Greatest common factor (GCF) of 50006 and 50020 is 2.

GCF(50006,50020) = 2

We will now calculate the prime factors of 50006 and 50020, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 50006 and 50020.

How to find the GCF of 50006 and 50020?

We will first find the prime factorization of 50006 and 50020. After we will calculate the factors of 50006 and 50020 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 50020

Prime factors of 50020 are 2, 5, 41, 61. Prime factorization of 50020 in exponential form is:

50020 = 2² × 5¹ × 41¹ × 61¹

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 50020

List of positive integer factors of 50020 that divides 50006 without a remainder.

1, 2, 4, 5, 10, 20, 41, 61, 82, 122, 164, 205, 244, 305, 410, 610, 820, 1220, 2501, 5002, 10004, 12505, 25010

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 50006 and 50020. The biggest common factor number is the GCF number.
So the greatest common factor 50006 and 50020 is 2.

Also check out the Least Common Multiple of 50006 and 50020