What is the Greatest Common Factor of 8569 and 8584?

Greatest common factor (GCF) of 8569 and 8584 is 1.

GCF(8569,8584) = 1

We will now calculate the prime factors of 8569 and 8584, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8569 and 8584.

How to find the GCF of 8569 and 8584?

We will first find the prime factorization of 8569 and 8584. After we will calculate the factors of 8569 and 8584 and find the biggest common factor number .

Step-1: Prime Factorization of 8569

Prime factors of 8569 are 11, 19, 41. Prime factorization of 8569 in exponential form is:

8569 = 11¹ × 19¹ × 41¹

Step-2: 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-3: Factors of 8569

List of positive integer factors of 8569 that divides 8569 without a remainder.

1, 11, 19, 41, 209, 451, 779

Step-4: Factors of 8584

List of positive integer factors of 8584 that divides 8569 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8569 and 8584. The biggest common factor number is the GCF number.
So the greatest common factor 8569 and 8584 is 1.

Also check out the Least Common Multiple of 8569 and 8584