What is the Greatest Common Factor of 14195 and 14210?

Greatest common factor (GCF) of 14195 and 14210 is 5.

GCF(14195,14210) = 5

We will now calculate the prime factors of 14195 and 14210, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14195 and 14210.

How to find the GCF of 14195 and 14210?

We will first find the prime factorization of 14195 and 14210. After we will calculate the factors of 14195 and 14210 and find the biggest common factor number .

Step-1: Prime Factorization of 14195

Prime factors of 14195 are 5, 17, 167. Prime factorization of 14195 in exponential form is:

14195 = 5¹ × 17¹ × 167¹

Step-2: Prime Factorization of 14210

Prime factors of 14210 are 2, 5, 7, 29. Prime factorization of 14210 in exponential form is:

14210 = 2¹ × 5¹ × 7² × 29¹

Step-3: Factors of 14195

List of positive integer factors of 14195 that divides 14195 without a remainder.

1, 5, 17, 85, 167, 835, 2839

Step-4: Factors of 14210

List of positive integer factors of 14210 that divides 14195 without a remainder.

1, 2, 5, 7, 10, 14, 29, 35, 49, 58, 70, 98, 145, 203, 245, 290, 406, 490, 1015, 1421, 2030, 2842, 7105

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14195 and 14210. The biggest common factor number is the GCF number.
So the greatest common factor 14195 and 14210 is 5.

Also check out the Least Common Multiple of 14195 and 14210