What is the Greatest Common Factor of 58563 and 58581?

Greatest common factor (GCF) of 58563 and 58581 is 9.

GCF(58563,58581) = 9

We will now calculate the prime factors of 58563 and 58581, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58563 and 58581.

How to find the GCF of 58563 and 58581?

We will first find the prime factorization of 58563 and 58581. After we will calculate the factors of 58563 and 58581 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 58581

Prime factors of 58581 are 3, 23, 283. Prime factorization of 58581 in exponential form is:

58581 = 3² × 23¹ × 283¹

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 58581

List of positive integer factors of 58581 that divides 58563 without a remainder.

1, 3, 9, 23, 69, 207, 283, 849, 2547, 6509, 19527

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58563 and 58581. The biggest common factor number is the GCF number.
So the greatest common factor 58563 and 58581 is 9.

Also check out the Least Common Multiple of 58563 and 58581