What is the Greatest Common Factor of 58000 and 58018?

Greatest common factor (GCF) of 58000 and 58018 is 2.

GCF(58000,58018) = 2

We will now calculate the prime factors of 58000 and 58018, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58000 and 58018.

How to find the GCF of 58000 and 58018?

We will first find the prime factorization of 58000 and 58018. After we will calculate the factors of 58000 and 58018 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 58018

Prime factors of 58018 are 2, 29009. Prime factorization of 58018 in exponential form is:

58018 = 2¹ × 29009¹

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 58018

List of positive integer factors of 58018 that divides 58000 without a remainder.

1, 2, 29009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58000 and 58018. The biggest common factor number is the GCF number.
So the greatest common factor 58000 and 58018 is 2.

Also check out the Least Common Multiple of 58000 and 58018