What is the Greatest Common Factor of 8206 and 8217?

Greatest common factor (GCF) of 8206 and 8217 is 11.

GCF(8206,8217) = 11

We will now calculate the prime factors of 8206 and 8217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8206 and 8217.

How to find the GCF of 8206 and 8217?

We will first find the prime factorization of 8206 and 8217. After we will calculate the factors of 8206 and 8217 and find the biggest common factor number .

Step-1: Prime Factorization of 8206

Prime factors of 8206 are 2, 11, 373. Prime factorization of 8206 in exponential form is:

8206 = 2¹ × 11¹ × 373¹

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 8206

List of positive integer factors of 8206 that divides 8206 without a remainder.

1, 2, 11, 22, 373, 746, 4103

Step-4: Factors of 8217

List of positive integer factors of 8217 that divides 8206 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 8206 and 8217. The biggest common factor number is the GCF number.
So the greatest common factor 8206 and 8217 is 11.

Also check out the Least Common Multiple of 8206 and 8217