What is the Greatest Common Factor of 58008 and 58017?

Greatest common factor (GCF) of 58008 and 58017 is 3.

GCF(58008,58017) = 3

We will now calculate the prime factors of 58008 and 58017, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58008 and 58017.

How to find the GCF of 58008 and 58017?

We will first find the prime factorization of 58008 and 58017. After we will calculate the factors of 58008 and 58017 and find the biggest common factor number .

Step-1: Prime Factorization of 58008

Prime factors of 58008 are 2, 3, 2417. Prime factorization of 58008 in exponential form is:

58008 = 2³ × 3¹ × 2417¹

Step-2: Prime Factorization of 58017

Prime factors of 58017 are 3, 83, 233. Prime factorization of 58017 in exponential form is:

58017 = 3¹ × 83¹ × 233¹

Step-3: Factors of 58008

List of positive integer factors of 58008 that divides 58008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 2417, 4834, 7251, 9668, 14502, 19336, 29004

Step-4: Factors of 58017

List of positive integer factors of 58017 that divides 58008 without a remainder.

1, 3, 83, 233, 249, 699, 19339

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58008 and 58017. The biggest common factor number is the GCF number.
So the greatest common factor 58008 and 58017 is 3.

Also check out the Least Common Multiple of 58008 and 58017