What is the Greatest Common Factor of 58578 and 58593?

Greatest common factor (GCF) of 58578 and 58593 is 3.

GCF(58578,58593) = 3

We will now calculate the prime factors of 58578 and 58593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58578 and 58593.

How to find the GCF of 58578 and 58593?

We will first find the prime factorization of 58578 and 58593. After we will calculate the factors of 58578 and 58593 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 58593

Prime factors of 58593 are 3, 19531. Prime factorization of 58593 in exponential form is:

58593 = 3¹ × 19531¹

Step-3: Factors of 58578

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

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

Step-4: Factors of 58593

List of positive integer factors of 58593 that divides 58578 without a remainder.

1, 3, 19531

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58578 and 58593. The biggest common factor number is the GCF number.
So the greatest common factor 58578 and 58593 is 3.

Also check out the Least Common Multiple of 58578 and 58593