What is the Greatest Common Factor of 8549 and 8566?

Greatest common factor (GCF) of 8549 and 8566 is 1.

GCF(8549,8566) = 1

We will now calculate the prime factors of 8549 and 8566, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8549 and 8566.

How to find the GCF of 8549 and 8566?

We will first find the prime factorization of 8549 and 8566. After we will calculate the factors of 8549 and 8566 and find the biggest common factor number .

Step-1: Prime Factorization of 8549

Prime factors of 8549 are 83, 103. Prime factorization of 8549 in exponential form is:

8549 = 83¹ × 103¹

Step-2: Prime Factorization of 8566

Prime factors of 8566 are 2, 4283. Prime factorization of 8566 in exponential form is:

8566 = 2¹ × 4283¹

Step-3: Factors of 8549

List of positive integer factors of 8549 that divides 8549 without a remainder.

1, 83, 103

Step-4: Factors of 8566

List of positive integer factors of 8566 that divides 8549 without a remainder.

1, 2, 4283

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8549 and 8566. The biggest common factor number is the GCF number.
So the greatest common factor 8549 and 8566 is 1.

Also check out the Least Common Multiple of 8549 and 8566