What is the Greatest Common Factor of 58138 and 58148?

Greatest common factor (GCF) of 58138 and 58148 is 2.

GCF(58138,58148) = 2

We will now calculate the prime factors of 58138 and 58148, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58138 and 58148.

How to find the GCF of 58138 and 58148?

We will first find the prime factorization of 58138 and 58148. After we will calculate the factors of 58138 and 58148 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 58148

Prime factors of 58148 are 2, 14537. Prime factorization of 58148 in exponential form is:

58148 = 2² × 14537¹

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 58148

List of positive integer factors of 58148 that divides 58138 without a remainder.

1, 2, 4, 14537, 29074

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58138 and 58148. The biggest common factor number is the GCF number.
So the greatest common factor 58138 and 58148 is 2.

Also check out the Least Common Multiple of 58138 and 58148