What is the Greatest Common Factor of 12225 and 12239?

Greatest common factor (GCF) of 12225 and 12239 is 1.

GCF(12225,12239) = 1

We will now calculate the prime factors of 12225 and 12239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12225 and 12239.

How to find the GCF of 12225 and 12239?

We will first find the prime factorization of 12225 and 12239. After we will calculate the factors of 12225 and 12239 and find the biggest common factor number .

Step-1: Prime Factorization of 12225

Prime factors of 12225 are 3, 5, 163. Prime factorization of 12225 in exponential form is:

12225 = 3¹ × 5² × 163¹

Step-2: Prime Factorization of 12239

Prime factors of 12239 are 12239. Prime factorization of 12239 in exponential form is:

12239 = 12239¹

Step-3: Factors of 12225

List of positive integer factors of 12225 that divides 12225 without a remainder.

1, 3, 5, 15, 25, 75, 163, 489, 815, 2445, 4075

Step-4: Factors of 12239

List of positive integer factors of 12239 that divides 12225 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12225 and 12239. The biggest common factor number is the GCF number.
So the greatest common factor 12225 and 12239 is 1.

Also check out the Least Common Multiple of 12225 and 12239