What is the Greatest Common Factor of 58593 and 58602?

Greatest common factor (GCF) of 58593 and 58602 is 3.

GCF(58593,58602) = 3

We will now calculate the prime factors of 58593 and 58602, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 58593 and 58602.

How to find the GCF of 58593 and 58602?

We will first find the prime factorization of 58593 and 58602. After we will calculate the factors of 58593 and 58602 and find the biggest common factor number .

Step-1: Prime Factorization of 58593

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

58593 = 3¹ × 19531¹

Step-2: Prime Factorization of 58602

Prime factors of 58602 are 2, 3, 9767. Prime factorization of 58602 in exponential form is:

58602 = 2¹ × 3¹ × 9767¹

Step-3: Factors of 58593

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

1, 3, 19531

Step-4: Factors of 58602

List of positive integer factors of 58602 that divides 58593 without a remainder.

1, 2, 3, 6, 9767, 19534, 29301

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 58593 and 58602. The biggest common factor number is the GCF number.
So the greatest common factor 58593 and 58602 is 3.

Also check out the Least Common Multiple of 58593 and 58602