What is the Greatest Common Factor of 58246 and 58258?

Greatest common factor (GCF) of 58246 and 58258 is 2.

GCF(58246,58258) = 2

We will now calculate the prime factors of 58246 and 58258, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58246 and 58258.

How to find the GCF of 58246 and 58258?

We will first find the prime factorization of 58246 and 58258. After we will calculate the factors of 58246 and 58258 and find the biggest common factor number .

Step-1: Prime Factorization of 58246

Prime factors of 58246 are 2, 29123. Prime factorization of 58246 in exponential form is:

58246 = 2¹ × 29123¹

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 58246

List of positive integer factors of 58246 that divides 58246 without a remainder.

1, 2, 29123

Step-4: Factors of 58258

List of positive integer factors of 58258 that divides 58246 without a remainder.

1, 2, 29129

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58246 and 58258. The biggest common factor number is the GCF number.
So the greatest common factor 58246 and 58258 is 2.

Also check out the Least Common Multiple of 58246 and 58258