What is the Greatest Common Factor of 58250 and 58258?

Greatest common factor (GCF) of 58250 and 58258 is 2.

GCF(58250,58258) = 2

We will now calculate the prime factors of 58250 and 58258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58250 and 58258.

How to find the GCF of 58250 and 58258?

We will first find the prime factorization of 58250 and 58258. After we will calculate the factors of 58250 and 58258 and find the biggest common factor number .

Step-1: Prime Factorization of 58250

Prime factors of 58250 are 2, 5, 233. Prime factorization of 58250 in exponential form is:

58250 = 2¹ × 5³ × 233¹

Step-2: Prime Factorization of 58258

Prime factors of 58258 are 2, 29129. Prime factorization of 58258 in exponential form is:

58258 = 2¹ × 29129¹

Step-3: Factors of 58250

List of positive integer factors of 58250 that divides 58250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 233, 250, 466, 1165, 2330, 5825, 11650, 29125

Step-4: Factors of 58258

List of positive integer factors of 58258 that divides 58250 without a remainder.

1, 2, 29129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58250 and 58258. The biggest common factor number is the GCF number.
So the greatest common factor 58250 and 58258 is 2.

Also check out the Least Common Multiple of 58250 and 58258