What is the Greatest Common Factor of 58000 and 58008?

Greatest common factor (GCF) of 58000 and 58008 is 8.

GCF(58000,58008) = 8

We will now calculate the prime factors of 58000 and 58008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58000 and 58008.

How to find the GCF of 58000 and 58008?

We will first find the prime factorization of 58000 and 58008. After we will calculate the factors of 58000 and 58008 and find the biggest common factor number .

Step-1: Prime Factorization of 58000

Prime factors of 58000 are 2, 5, 29. Prime factorization of 58000 in exponential form is:

58000 = 2⁴ × 5³ × 29¹

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 58000

List of positive integer factors of 58000 that divides 58000 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 29, 40, 50, 58, 80, 100, 116, 125, 145, 200, 232, 250, 290, 400, 464, 500, 580, 725, 1000, 1160, 1450, 2000, 2320, 2900, 3625, 5800, 7250, 11600, 14500, 29000

Step-4: Factors of 58008

List of positive integer factors of 58008 that divides 58000 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 58000 and 58008. The biggest common factor number is the GCF number.
So the greatest common factor 58000 and 58008 is 8.

Also check out the Least Common Multiple of 58000 and 58008