What is the Greatest Common Factor of 583 and 594?

Greatest common factor (GCF) of 583 and 594 is 11.

GCF(583,594) = 11

We will now calculate the prime factors of 583 and 594, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 583 and 594.

How to find the GCF of 583 and 594?

We will first find the prime factorization of 583 and 594. After we will calculate the factors of 583 and 594 and find the biggest common factor number .

Step-1: Prime Factorization of 583

Prime factors of 583 are 11, 53. Prime factorization of 583 in exponential form is:

583 = 11¹ × 53¹

Step-2: Prime Factorization of 594

Prime factors of 594 are 2, 3, 11. Prime factorization of 594 in exponential form is:

594 = 2¹ × 3³ × 11¹

Step-3: Factors of 583

List of positive integer factors of 583 that divides 583 without a remainder.

1, 11, 53

Step-4: Factors of 594

List of positive integer factors of 594 that divides 583 without a remainder.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 583 and 594. The biggest common factor number is the GCF number.
So the greatest common factor 583 and 594 is 11.

Also check out the Least Common Multiple of 583 and 594