What is the Greatest Common Factor of 12170 and 12175?

Greatest common factor (GCF) of 12170 and 12175 is 5.

GCF(12170,12175) = 5

We will now calculate the prime factors of 12170 and 12175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12170 and 12175.

How to find the GCF of 12170 and 12175?

We will first find the prime factorization of 12170 and 12175. After we will calculate the factors of 12170 and 12175 and find the biggest common factor number .

Step-1: Prime Factorization of 12170

Prime factors of 12170 are 2, 5, 1217. Prime factorization of 12170 in exponential form is:

12170 = 2¹ × 5¹ × 1217¹

Step-2: Prime Factorization of 12175

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

12175 = 5² × 487¹

Step-3: Factors of 12170

List of positive integer factors of 12170 that divides 12170 without a remainder.

1, 2, 5, 10, 1217, 2434, 6085

Step-4: Factors of 12175

List of positive integer factors of 12175 that divides 12170 without a remainder.

1, 5, 25, 487, 2435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12170 and 12175. The biggest common factor number is the GCF number.
So the greatest common factor 12170 and 12175 is 5.

Also check out the Least Common Multiple of 12170 and 12175