What is the Greatest Common Factor of 58148 and 58160?

Greatest common factor (GCF) of 58148 and 58160 is 4.

GCF(58148,58160) = 4

We will now calculate the prime factors of 58148 and 58160, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58148 and 58160.

How to find the GCF of 58148 and 58160?

We will first find the prime factorization of 58148 and 58160. After we will calculate the factors of 58148 and 58160 and find the biggest common factor number .

Step-1: Prime Factorization of 58148

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

58148 = 2² × 14537¹

Step-2: Prime Factorization of 58160

Prime factors of 58160 are 2, 5, 727. Prime factorization of 58160 in exponential form is:

58160 = 2⁴ × 5¹ × 727¹

Step-3: Factors of 58148

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

1, 2, 4, 14537, 29074

Step-4: Factors of 58160

List of positive integer factors of 58160 that divides 58148 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 727, 1454, 2908, 3635, 5816, 7270, 11632, 14540, 29080

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58148 and 58160. The biggest common factor number is the GCF number.
So the greatest common factor 58148 and 58160 is 4.

Also check out the Least Common Multiple of 58148 and 58160