What is the Greatest Common Factor of 8569 and 8574?

Greatest common factor (GCF) of 8569 and 8574 is 1.

GCF(8569,8574) = 1

We will now calculate the prime factors of 8569 and 8574, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8569 and 8574.

How to find the GCF of 8569 and 8574?

We will first find the prime factorization of 8569 and 8574. After we will calculate the factors of 8569 and 8574 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 8574

Prime factors of 8574 are 2, 3, 1429. Prime factorization of 8574 in exponential form is:

8574 = 2¹ × 3¹ × 1429¹

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 8574

List of positive integer factors of 8574 that divides 8569 without a remainder.

1, 2, 3, 6, 1429, 2858, 4287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8569 and 8574. The biggest common factor number is the GCF number.
So the greatest common factor 8569 and 8574 is 1.

Also check out the Least Common Multiple of 8569 and 8574