What is the Greatest Common Factor of 14150 and 14165?

Greatest common factor (GCF) of 14150 and 14165 is 5.

GCF(14150,14165) = 5

We will now calculate the prime factors of 14150 and 14165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14150 and 14165.

How to find the GCF of 14150 and 14165?

We will first find the prime factorization of 14150 and 14165. After we will calculate the factors of 14150 and 14165 and find the biggest common factor number .

Step-1: Prime Factorization of 14150

Prime factors of 14150 are 2, 5, 283. Prime factorization of 14150 in exponential form is:

14150 = 2¹ × 5² × 283¹

Step-2: Prime Factorization of 14165

Prime factors of 14165 are 5, 2833. Prime factorization of 14165 in exponential form is:

14165 = 5¹ × 2833¹

Step-3: Factors of 14150

List of positive integer factors of 14150 that divides 14150 without a remainder.

1, 2, 5, 10, 25, 50, 283, 566, 1415, 2830, 7075

Step-4: Factors of 14165

List of positive integer factors of 14165 that divides 14150 without a remainder.

1, 5, 2833

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14150 and 14165. The biggest common factor number is the GCF number.
So the greatest common factor 14150 and 14165 is 5.

Also check out the Least Common Multiple of 14150 and 14165