What is the Greatest Common Factor of 58563 and 58578?

Greatest common factor (GCF) of 58563 and 58578 is 3.

GCF(58563,58578) = 3

We will now calculate the prime factors of 58563 and 58578, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58563 and 58578.

How to find the GCF of 58563 and 58578?

We will first find the prime factorization of 58563 and 58578. After we will calculate the factors of 58563 and 58578 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 58578

Prime factors of 58578 are 2, 3, 13, 751. Prime factorization of 58578 in exponential form is:

58578 = 2¹ × 3¹ × 13¹ × 751¹

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 58578

List of positive integer factors of 58578 that divides 58563 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78, 751, 1502, 2253, 4506, 9763, 19526, 29289

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58563 and 58578. The biggest common factor number is the GCF number.
So the greatest common factor 58563 and 58578 is 3.

Also check out the Least Common Multiple of 58563 and 58578