What is the Greatest Common Factor of 5000 and 5017?

Greatest common factor (GCF) of 5000 and 5017 is 1.

GCF(5000,5017) = 1

We will now calculate the prime factors of 5000 and 5017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5000 and 5017.

How to find the GCF of 5000 and 5017?

We will first find the prime factorization of 5000 and 5017. After we will calculate the factors of 5000 and 5017 and find the biggest common factor number .

Step-1: Prime Factorization of 5000

Prime factors of 5000 are 2, 5. Prime factorization of 5000 in exponential form is:

5000 = 2³ × 5⁴

Step-2: Prime Factorization of 5017

Prime factors of 5017 are 29, 173. Prime factorization of 5017 in exponential form is:

5017 = 29¹ × 173¹

Step-3: Factors of 5000

List of positive integer factors of 5000 that divides 5000 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 625, 1000, 1250, 2500

Step-4: Factors of 5017

List of positive integer factors of 5017 that divides 5000 without a remainder.

1, 29, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5000 and 5017. The biggest common factor number is the GCF number.
So the greatest common factor 5000 and 5017 is 1.

Also check out the Least Common Multiple of 5000 and 5017