What is the Greatest Common Factor of 58000 and 58005?

Greatest common factor (GCF) of 58000 and 58005 is 5.

GCF(58000,58005) = 5

We will now calculate the prime factors of 58000 and 58005, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58000 and 58005.

How to find the GCF of 58000 and 58005?

We will first find the prime factorization of 58000 and 58005. After we will calculate the factors of 58000 and 58005 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 58005

Prime factors of 58005 are 3, 5, 1289. Prime factorization of 58005 in exponential form is:

58005 = 3² × 5¹ × 1289¹

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 58005

List of positive integer factors of 58005 that divides 58000 without a remainder.

1, 3, 5, 9, 15, 45, 1289, 3867, 6445, 11601, 19335

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58000 and 58005. The biggest common factor number is the GCF number.
So the greatest common factor 58000 and 58005 is 5.

Also check out the Least Common Multiple of 58000 and 58005