What is the Greatest Common Factor of 12175 and 12187?

Greatest common factor (GCF) of 12175 and 12187 is 1.

GCF(12175,12187) = 1

We will now calculate the prime factors of 12175 and 12187, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12175 and 12187.

How to find the GCF of 12175 and 12187?

We will first find the prime factorization of 12175 and 12187. After we will calculate the factors of 12175 and 12187 and find the biggest common factor number .

Step-1: Prime Factorization of 12175

Prime factors of 12175 are 5, 487. Prime factorization of 12175 in exponential form is:

12175 = 5² × 487¹

Step-2: Prime Factorization of 12187

Prime factors of 12187 are 7, 1741. Prime factorization of 12187 in exponential form is:

12187 = 7¹ × 1741¹

Step-3: Factors of 12175

List of positive integer factors of 12175 that divides 12175 without a remainder.

1, 5, 25, 487, 2435

Step-4: Factors of 12187

List of positive integer factors of 12187 that divides 12175 without a remainder.

1, 7, 1741

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12175 and 12187. The biggest common factor number is the GCF number.
So the greatest common factor 12175 and 12187 is 1.

Also check out the Least Common Multiple of 12175 and 12187