What is the Greatest Common Factor of 58175 and 58189?

Greatest common factor (GCF) of 58175 and 58189 is 1.

GCF(58175,58189) = 1

We will now calculate the prime factors of 58175 and 58189, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58175 and 58189.

How to find the GCF of 58175 and 58189?

We will first find the prime factorization of 58175 and 58189. After we will calculate the factors of 58175 and 58189 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 58189

Prime factors of 58189 are 58189. Prime factorization of 58189 in exponential form is:

58189 = 58189¹

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 58189

List of positive integer factors of 58189 that divides 58175 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58175 and 58189. The biggest common factor number is the GCF number.
So the greatest common factor 58175 and 58189 is 1.

Also check out the Least Common Multiple of 58175 and 58189