What is the Greatest Common Factor of 5004 and 5017?

Greatest common factor (GCF) of 5004 and 5017 is 1.

GCF(5004,5017) = 1

We will now calculate the prime factors of 5004 and 5017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5004 and 5017.

How to find the GCF of 5004 and 5017?

We will first find the prime factorization of 5004 and 5017. After we will calculate the factors of 5004 and 5017 and find the biggest common factor number .

Step-1: Prime Factorization of 5004

Prime factors of 5004 are 2, 3, 139. Prime factorization of 5004 in exponential form is:

5004 = 2² × 3² × 139¹

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 5004

List of positive integer factors of 5004 that divides 5004 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502

Step-4: Factors of 5017

List of positive integer factors of 5017 that divides 5004 without a remainder.

1, 29, 173

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5004 and 5017. The biggest common factor number is the GCF number.
So the greatest common factor 5004 and 5017 is 1.

Also check out the Least Common Multiple of 5004 and 5017