What is the Greatest Common Factor of 12204 and 12223?

Greatest common factor (GCF) of 12204 and 12223 is 1.

GCF(12204,12223) = 1

We will now calculate the prime factors of 12204 and 12223, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12204 and 12223.

How to find the GCF of 12204 and 12223?

We will first find the prime factorization of 12204 and 12223. After we will calculate the factors of 12204 and 12223 and find the biggest common factor number .

Step-1: Prime Factorization of 12204

Prime factors of 12204 are 2, 3, 113. Prime factorization of 12204 in exponential form is:

12204 = 2² × 3³ × 113¹

Step-2: Prime Factorization of 12223

Prime factors of 12223 are 17, 719. Prime factorization of 12223 in exponential form is:

12223 = 17¹ × 719¹

Step-3: Factors of 12204

List of positive integer factors of 12204 that divides 12204 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108, 113, 226, 339, 452, 678, 1017, 1356, 2034, 3051, 4068, 6102

Step-4: Factors of 12223

List of positive integer factors of 12223 that divides 12204 without a remainder.

1, 17, 719

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12204 and 12223. The biggest common factor number is the GCF number.
So the greatest common factor 12204 and 12223 is 1.

Also check out the Least Common Multiple of 12204 and 12223