What is the Greatest Common Factor of 58000 and 58013?

Greatest common factor (GCF) of 58000 and 58013 is 1.

GCF(58000,58013) = 1

We will now calculate the prime factors of 58000 and 58013, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58000 and 58013.

How to find the GCF of 58000 and 58013?

We will first find the prime factorization of 58000 and 58013. After we will calculate the factors of 58000 and 58013 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 58013

Prime factors of 58013 are 58013. Prime factorization of 58013 in exponential form is:

58013 = 58013¹

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 58013

List of positive integer factors of 58013 that divides 58000 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58000 and 58013. The biggest common factor number is the GCF number.
So the greatest common factor 58000 and 58013 is 1.

Also check out the Least Common Multiple of 58000 and 58013