What is the Greatest Common Factor of 12208 and 12227?

Greatest common factor (GCF) of 12208 and 12227 is 1.

GCF(12208,12227) = 1

We will now calculate the prime factors of 12208 and 12227, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12208 and 12227.

How to find the GCF of 12208 and 12227?

We will first find the prime factorization of 12208 and 12227. After we will calculate the factors of 12208 and 12227 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 12227

Prime factors of 12227 are 12227. Prime factorization of 12227 in exponential form is:

12227 = 12227¹

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 12227

List of positive integer factors of 12227 that divides 12208 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12208 and 12227. The biggest common factor number is the GCF number.
So the greatest common factor 12208 and 12227 is 1.

Also check out the Least Common Multiple of 12208 and 12227