What is the Greatest Common Factor of 589 and 593?

Greatest common factor (GCF) of 589 and 593 is 1.

GCF(589,593) = 1

We will now calculate the prime factors of 589 and 593, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 589 and 593.

How to find the GCF of 589 and 593?

We will first find the prime factorization of 589 and 593. After we will calculate the factors of 589 and 593 and find the biggest common factor number .

Step-1: Prime Factorization of 589

Prime factors of 589 are 19, 31. Prime factorization of 589 in exponential form is:

589 = 19¹ × 31¹

Step-2: Prime Factorization of 593

Prime factors of 593 are 593. Prime factorization of 593 in exponential form is:

593 = 593¹

Step-3: Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1, 19, 31

Step-4: Factors of 593

List of positive integer factors of 593 that divides 589 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 589 and 593. The biggest common factor number is the GCF number.
So the greatest common factor 589 and 593 is 1.

Also check out the Least Common Multiple of 589 and 593