What is the Greatest Common Factor of 589 and 607?

Greatest common factor (GCF) of 589 and 607 is 1.

GCF(589,607) = 1

We will now calculate the prime factors of 589 and 607, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 589 and 607.

How to find the GCF of 589 and 607?

We will first find the prime factorization of 589 and 607. After we will calculate the factors of 589 and 607 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 607

Prime factors of 607 are 607. Prime factorization of 607 in exponential form is:

607 = 607¹

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 607

List of positive integer factors of 607 that divides 589 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 589 and 607. The biggest common factor number is the GCF number.
So the greatest common factor 589 and 607 is 1.

Also check out the Least Common Multiple of 589 and 607