What is the Greatest Common Factor of 20005 and 20017?

Greatest common factor (GCF) of 20005 and 20017 is 1.

GCF(20005,20017) = 1

We will now calculate the prime factors of 20005 and 20017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 20005 and 20017.

How to find the GCF of 20005 and 20017?

We will first find the prime factorization of 20005 and 20017. After we will calculate the factors of 20005 and 20017 and find the biggest common factor number .

Step-1: Prime Factorization of 20005

Prime factors of 20005 are 5, 4001. Prime factorization of 20005 in exponential form is:

20005 = 5¹ × 4001¹

Step-2: Prime Factorization of 20017

Prime factors of 20017 are 37, 541. Prime factorization of 20017 in exponential form is:

20017 = 37¹ × 541¹

Step-3: Factors of 20005

List of positive integer factors of 20005 that divides 20005 without a remainder.

1, 5, 4001

Step-4: Factors of 20017

List of positive integer factors of 20017 that divides 20005 without a remainder.

1, 37, 541

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 20005 and 20017. The biggest common factor number is the GCF number.
So the greatest common factor 20005 and 20017 is 1.

Also check out the Least Common Multiple of 20005 and 20017