What is the Greatest Common Factor of 12208 and 12217?

Greatest common factor (GCF) of 12208 and 12217 is 1.

GCF(12208,12217) = 1

We will now calculate the prime factors of 12208 and 12217, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12208 and 12217.

How to find the GCF of 12208 and 12217?

We will first find the prime factorization of 12208 and 12217. After we will calculate the factors of 12208 and 12217 and find the biggest common factor number .

Step-1: Prime Factorization of 12208

Prime factors of 12208 are 2, 7, 109. Prime factorization of 12208 in exponential form is:

12208 = 2⁴ × 7¹ × 109¹

Step-2: Prime Factorization of 12217

Prime factors of 12217 are 19, 643. Prime factorization of 12217 in exponential form is:

12217 = 19¹ × 643¹

Step-3: Factors of 12208

List of positive integer factors of 12208 that divides 12208 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 109, 112, 218, 436, 763, 872, 1526, 1744, 3052, 6104

Step-4: Factors of 12217

List of positive integer factors of 12217 that divides 12208 without a remainder.

1, 19, 643

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12208 and 12217. The biggest common factor number is the GCF number.
So the greatest common factor 12208 and 12217 is 1.

Also check out the Least Common Multiple of 12208 and 12217