What is the Greatest Common Factor of 12325 and 12342?

Greatest common factor (GCF) of 12325 and 12342 is 17.

GCF(12325,12342) = 17

We will now calculate the prime factors of 12325 and 12342, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12325 and 12342.

How to find the GCF of 12325 and 12342?

We will first find the prime factorization of 12325 and 12342. After we will calculate the factors of 12325 and 12342 and find the biggest common factor number .

Step-1: Prime Factorization of 12325

Prime factors of 12325 are 5, 17, 29. Prime factorization of 12325 in exponential form is:

12325 = 5² × 17¹ × 29¹

Step-2: Prime Factorization of 12342

Prime factors of 12342 are 2, 3, 11, 17. Prime factorization of 12342 in exponential form is:

12342 = 2¹ × 3¹ × 11² × 17¹

Step-3: Factors of 12325

List of positive integer factors of 12325 that divides 12325 without a remainder.

1, 5, 17, 25, 29, 85, 145, 425, 493, 725, 2465

Step-4: Factors of 12342

List of positive integer factors of 12342 that divides 12325 without a remainder.

1, 2, 3, 6, 11, 17, 22, 33, 34, 51, 66, 102, 121, 187, 242, 363, 374, 561, 726, 1122, 2057, 4114, 6171

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12325 and 12342. The biggest common factor number is the GCF number.
So the greatest common factor 12325 and 12342 is 17.

Also check out the Least Common Multiple of 12325 and 12342