What is the Greatest Common Factor of 58238 and 58258?

Greatest common factor (GCF) of 58238 and 58258 is 2.

GCF(58238,58258) = 2

We will now calculate the prime factors of 58238 and 58258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58238 and 58258.

How to find the GCF of 58238 and 58258?

We will first find the prime factorization of 58238 and 58258. After we will calculate the factors of 58238 and 58258 and find the biggest common factor number .

Step-1: Prime Factorization of 58238

Prime factors of 58238 are 2, 37, 787. Prime factorization of 58238 in exponential form is:

58238 = 2¹ × 37¹ × 787¹

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 58238

List of positive integer factors of 58238 that divides 58238 without a remainder.

1, 2, 37, 74, 787, 1574, 29119

Step-4: Factors of 58258

List of positive integer factors of 58258 that divides 58238 without a remainder.

1, 2, 29129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58238 and 58258. The biggest common factor number is the GCF number.
So the greatest common factor 58238 and 58258 is 2.

Also check out the Least Common Multiple of 58238 and 58258