What is the Greatest Common Factor of 8558 and 8569?

Greatest common factor (GCF) of 8558 and 8569 is 11.

GCF(8558,8569) = 11

We will now calculate the prime factors of 8558 and 8569, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8558 and 8569.

How to find the GCF of 8558 and 8569?

We will first find the prime factorization of 8558 and 8569. After we will calculate the factors of 8558 and 8569 and find the biggest common factor number .

Step-1: Prime Factorization of 8558

Prime factors of 8558 are 2, 11, 389. Prime factorization of 8558 in exponential form is:

8558 = 2¹ × 11¹ × 389¹

Step-2: 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-3: Factors of 8558

List of positive integer factors of 8558 that divides 8558 without a remainder.

1, 2, 11, 22, 389, 778, 4279

Step-4: Factors of 8569

List of positive integer factors of 8569 that divides 8558 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8558 and 8569. The biggest common factor number is the GCF number.
So the greatest common factor 8558 and 8569 is 11.

Also check out the Least Common Multiple of 8558 and 8569