What is the Greatest Common Factor of 58575 and 58594?

Greatest common factor (GCF) of 58575 and 58594 is 1.

GCF(58575,58594) = 1

We will now calculate the prime factors of 58575 and 58594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58575 and 58594.

How to find the GCF of 58575 and 58594?

We will first find the prime factorization of 58575 and 58594. After we will calculate the factors of 58575 and 58594 and find the biggest common factor number .

Step-1: Prime Factorization of 58575

Prime factors of 58575 are 3, 5, 11, 71. Prime factorization of 58575 in exponential form is:

58575 = 3¹ × 5² × 11¹ × 71¹

Step-2: Prime Factorization of 58594

Prime factors of 58594 are 2, 29297. Prime factorization of 58594 in exponential form is:

58594 = 2¹ × 29297¹

Step-3: Factors of 58575

List of positive integer factors of 58575 that divides 58575 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 71, 75, 165, 213, 275, 355, 781, 825, 1065, 1775, 2343, 3905, 5325, 11715, 19525

Step-4: Factors of 58594

List of positive integer factors of 58594 that divides 58575 without a remainder.

1, 2, 29297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58575 and 58594. The biggest common factor number is the GCF number.
So the greatest common factor 58575 and 58594 is 1.

Also check out the Least Common Multiple of 58575 and 58594