What is the Greatest Common Factor of 8584 and 8599?

Greatest common factor (GCF) of 8584 and 8599 is 1.

GCF(8584,8599) = 1

We will now calculate the prime factors of 8584 and 8599, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8584 and 8599.

How to find the GCF of 8584 and 8599?

We will first find the prime factorization of 8584 and 8599. After we will calculate the factors of 8584 and 8599 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 8599

Prime factors of 8599 are 8599. Prime factorization of 8599 in exponential form is:

8599 = 8599¹

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 8599

List of positive integer factors of 8599 that divides 8584 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8584 and 8599. The biggest common factor number is the GCF number.
So the greatest common factor 8584 and 8599 is 1.

Also check out the Least Common Multiple of 8584 and 8599