What is the Greatest Common Factor of 58175 and 58190?

Greatest common factor (GCF) of 58175 and 58190 is 5.

GCF(58175,58190) = 5

We will now calculate the prime factors of 58175 and 58190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58175 and 58190.

How to find the GCF of 58175 and 58190?

We will first find the prime factorization of 58175 and 58190. After we will calculate the factors of 58175 and 58190 and find the biggest common factor number .

Step-1: Prime Factorization of 58175

Prime factors of 58175 are 5, 13, 179. Prime factorization of 58175 in exponential form is:

58175 = 5² × 13¹ × 179¹

Step-2: Prime Factorization of 58190

Prime factors of 58190 are 2, 5, 11, 23. Prime factorization of 58190 in exponential form is:

58190 = 2¹ × 5¹ × 11¹ × 23²

Step-3: Factors of 58175

List of positive integer factors of 58175 that divides 58175 without a remainder.

1, 5, 13, 25, 65, 179, 325, 895, 2327, 4475, 11635

Step-4: Factors of 58190

List of positive integer factors of 58190 that divides 58175 without a remainder.

1, 2, 5, 10, 11, 22, 23, 46, 55, 110, 115, 230, 253, 506, 529, 1058, 1265, 2530, 2645, 5290, 5819, 11638, 29095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58175 and 58190. The biggest common factor number is the GCF number.
So the greatest common factor 58175 and 58190 is 5.

Also check out the Least Common Multiple of 58175 and 58190