What is the Greatest Common Factor of 58258 and 58264?

Greatest common factor (GCF) of 58258 and 58264 is 2.

GCF(58258,58264) = 2

We will now calculate the prime factors of 58258 and 58264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58258 and 58264.

How to find the GCF of 58258 and 58264?

We will first find the prime factorization of 58258 and 58264. After we will calculate the factors of 58258 and 58264 and find the biggest common factor number .

Step-1: Prime Factorization of 58258

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

58258 = 2¹ × 29129¹

Step-2: Prime Factorization of 58264

Prime factors of 58264 are 2, 7283. Prime factorization of 58264 in exponential form is:

58264 = 2³ × 7283¹

Step-3: Factors of 58258

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

1, 2, 29129

Step-4: Factors of 58264

List of positive integer factors of 58264 that divides 58258 without a remainder.

1, 2, 4, 8, 7283, 14566, 29132

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58258 and 58264. The biggest common factor number is the GCF number.
So the greatest common factor 58258 and 58264 is 2.

Also check out the Least Common Multiple of 58258 and 58264