What is the Greatest Common Factor of 58001 and 58008?

Greatest common factor (GCF) of 58001 and 58008 is 1.

GCF(58001,58008) = 1

We will now calculate the prime factors of 58001 and 58008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58001 and 58008.

How to find the GCF of 58001 and 58008?

We will first find the prime factorization of 58001 and 58008. After we will calculate the factors of 58001 and 58008 and find the biggest common factor number .

Step-1: Prime Factorization of 58001

Prime factors of 58001 are 31, 1871. Prime factorization of 58001 in exponential form is:

58001 = 31¹ × 1871¹

Step-2: 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-3: Factors of 58001

List of positive integer factors of 58001 that divides 58001 without a remainder.

1, 31, 1871

Step-4: Factors of 58008

List of positive integer factors of 58008 that divides 58001 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58001 and 58008. The biggest common factor number is the GCF number.
So the greatest common factor 58001 and 58008 is 1.

Also check out the Least Common Multiple of 58001 and 58008