What is the Greatest Common Factor of 8584 and 8589?

Greatest common factor (GCF) of 8584 and 8589 is 1.

GCF(8584,8589) = 1

We will now calculate the prime factors of 8584 and 8589, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8584 and 8589.

How to find the GCF of 8584 and 8589?

We will first find the prime factorization of 8584 and 8589. After we will calculate the factors of 8584 and 8589 and find the biggest common factor number .

Step-1: Prime Factorization of 8584

Prime factors of 8584 are 2, 29, 37. Prime factorization of 8584 in exponential form is:

8584 = 2³ × 29¹ × 37¹

Step-2: Prime Factorization of 8589

Prime factors of 8589 are 3, 7, 409. Prime factorization of 8589 in exponential form is:

8589 = 3¹ × 7¹ × 409¹

Step-3: Factors of 8584

List of positive integer factors of 8584 that divides 8584 without a remainder.

1, 2, 4, 8, 29, 37, 58, 74, 116, 148, 232, 296, 1073, 2146, 4292

Step-4: Factors of 8589

List of positive integer factors of 8589 that divides 8584 without a remainder.

1, 3, 7, 21, 409, 1227, 2863

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8584 and 8589. The biggest common factor number is the GCF number.
So the greatest common factor 8584 and 8589 is 1.

Also check out the Least Common Multiple of 8584 and 8589