What is the Greatest Common Factor of 8209 and 8217?

Greatest common factor (GCF) of 8209 and 8217 is 1.

GCF(8209,8217) = 1

We will now calculate the prime factors of 8209 and 8217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8209 and 8217.

How to find the GCF of 8209 and 8217?

We will first find the prime factorization of 8209 and 8217. After we will calculate the factors of 8209 and 8217 and find the biggest common factor number .

Step-1: Prime Factorization of 8209

Prime factors of 8209 are 8209. Prime factorization of 8209 in exponential form is:

8209 = 8209¹

Step-2: Prime Factorization of 8217

Prime factors of 8217 are 3, 11, 83. Prime factorization of 8217 in exponential form is:

8217 = 3² × 11¹ × 83¹

Step-3: Factors of 8209

List of positive integer factors of 8209 that divides 8209 without a remainder.

Step-4: Factors of 8217

List of positive integer factors of 8217 that divides 8209 without a remainder.

1, 3, 9, 11, 33, 83, 99, 249, 747, 913, 2739

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8209 and 8217. The biggest common factor number is the GCF number.
So the greatest common factor 8209 and 8217 is 1.

Also check out the Least Common Multiple of 8209 and 8217