What is the Greatest Common Factor of 58145 and 58155?

Greatest common factor (GCF) of 58145 and 58155 is 5.

GCF(58145,58155) = 5

We will now calculate the prime factors of 58145 and 58155, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58145 and 58155.

How to find the GCF of 58145 and 58155?

We will first find the prime factorization of 58145 and 58155. After we will calculate the factors of 58145 and 58155 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58155

Prime factors of 58155 are 3, 5, 3877. Prime factorization of 58155 in exponential form is:

58155 = 3¹ × 5¹ × 3877¹

Step-3: Factors of 58145

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

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

Step-4: Factors of 58155

List of positive integer factors of 58155 that divides 58145 without a remainder.

1, 3, 5, 15, 3877, 11631, 19385

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58145 and 58155. The biggest common factor number is the GCF number.
So the greatest common factor 58145 and 58155 is 5.

Also check out the Least Common Multiple of 58145 and 58155