What is the Greatest Common Factor of 12173 and 12185?

Greatest common factor (GCF) of 12173 and 12185 is 1.

GCF(12173,12185) = 1

We will now calculate the prime factors of 12173 and 12185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12173 and 12185.

How to find the GCF of 12173 and 12185?

We will first find the prime factorization of 12173 and 12185. After we will calculate the factors of 12173 and 12185 and find the biggest common factor number .

Step-1: Prime Factorization of 12173

Prime factors of 12173 are 7, 37, 47. Prime factorization of 12173 in exponential form is:

12173 = 7¹ × 37¹ × 47¹

Step-2: Prime Factorization of 12185

Prime factors of 12185 are 5, 2437. Prime factorization of 12185 in exponential form is:

12185 = 5¹ × 2437¹

Step-3: Factors of 12173

List of positive integer factors of 12173 that divides 12173 without a remainder.

1, 7, 37, 47, 259, 329, 1739

Step-4: Factors of 12185

List of positive integer factors of 12185 that divides 12173 without a remainder.

1, 5, 2437

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12173 and 12185. The biggest common factor number is the GCF number.
So the greatest common factor 12173 and 12185 is 1.

Also check out the Least Common Multiple of 12173 and 12185