What is the Greatest Common Factor of 58138 and 58145?

Greatest common factor (GCF) of 58138 and 58145 is 1.

GCF(58138,58145) = 1

We will now calculate the prime factors of 58138 and 58145, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58138 and 58145.

How to find the GCF of 58138 and 58145?

We will first find the prime factorization of 58138 and 58145. After we will calculate the factors of 58138 and 58145 and find the biggest common factor number .

Step-1: Prime Factorization of 58138

Prime factors of 58138 are 2, 41, 709. Prime factorization of 58138 in exponential form is:

58138 = 2¹ × 41¹ × 709¹

Step-2: Prime Factorization of 58145

Prime factors of 58145 are 5, 29, 401. Prime factorization of 58145 in exponential form is:

58145 = 5¹ × 29¹ × 401¹

Step-3: Factors of 58138

List of positive integer factors of 58138 that divides 58138 without a remainder.

1, 2, 41, 82, 709, 1418, 29069

Step-4: Factors of 58145

List of positive integer factors of 58145 that divides 58138 without a remainder.

1, 5, 29, 145, 401, 2005, 11629

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58138 and 58145. The biggest common factor number is the GCF number.
So the greatest common factor 58138 and 58145 is 1.

Also check out the Least Common Multiple of 58138 and 58145