What is the Greatest Common Factor of 20008 and 20018?

Greatest common factor (GCF) of 20008 and 20018 is 2.

GCF(20008,20018) = 2

We will now calculate the prime factors of 20008 and 20018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20008 and 20018.

How to find the GCF of 20008 and 20018?

We will first find the prime factorization of 20008 and 20018. After we will calculate the factors of 20008 and 20018 and find the biggest common factor number .

Step-1: Prime Factorization of 20008

Prime factors of 20008 are 2, 41, 61. Prime factorization of 20008 in exponential form is:

20008 = 2³ × 41¹ × 61¹

Step-2: Prime Factorization of 20018

Prime factors of 20018 are 2, 10009. Prime factorization of 20018 in exponential form is:

20018 = 2¹ × 10009¹

Step-3: Factors of 20008

List of positive integer factors of 20008 that divides 20008 without a remainder.

1, 2, 4, 8, 41, 61, 82, 122, 164, 244, 328, 488, 2501, 5002, 10004

Step-4: Factors of 20018

List of positive integer factors of 20018 that divides 20008 without a remainder.

1, 2, 10009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20008 and 20018. The biggest common factor number is the GCF number.
So the greatest common factor 20008 and 20018 is 2.

Also check out the Least Common Multiple of 20008 and 20018