What is the Greatest Common Factor of 58563 and 58575?

Greatest common factor (GCF) of 58563 and 58575 is 3.

GCF(58563,58575) = 3

We will now calculate the prime factors of 58563 and 58575, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58563 and 58575.

How to find the GCF of 58563 and 58575?

We will first find the prime factorization of 58563 and 58575. After we will calculate the factors of 58563 and 58575 and find the biggest common factor number .

Step-1: Prime Factorization of 58563

Prime factors of 58563 are 3, 241. Prime factorization of 58563 in exponential form is:

58563 = 3⁵ × 241¹

Step-2: 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-3: Factors of 58563

List of positive integer factors of 58563 that divides 58563 without a remainder.

1, 3, 9, 27, 81, 241, 243, 723, 2169, 6507, 19521

Step-4: Factors of 58575

List of positive integer factors of 58575 that divides 58563 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58563 and 58575. The biggest common factor number is the GCF number.
So the greatest common factor 58563 and 58575 is 3.

Also check out the Least Common Multiple of 58563 and 58575