What is the Greatest Common Factor of 14163 and 14181?

Greatest common factor (GCF) of 14163 and 14181 is 3.

GCF(14163,14181) = 3

We will now calculate the prime factors of 14163 and 14181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14163 and 14181.

How to find the GCF of 14163 and 14181?

We will first find the prime factorization of 14163 and 14181. After we will calculate the factors of 14163 and 14181 and find the biggest common factor number .

Step-1: Prime Factorization of 14163

Prime factors of 14163 are 3, 4721. Prime factorization of 14163 in exponential form is:

14163 = 3¹ × 4721¹

Step-2: Prime Factorization of 14181

Prime factors of 14181 are 3, 29, 163. Prime factorization of 14181 in exponential form is:

14181 = 3¹ × 29¹ × 163¹

Step-3: Factors of 14163

List of positive integer factors of 14163 that divides 14163 without a remainder.

1, 3, 4721

Step-4: Factors of 14181

List of positive integer factors of 14181 that divides 14163 without a remainder.

1, 3, 29, 87, 163, 489, 4727

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14163 and 14181. The biggest common factor number is the GCF number.
So the greatest common factor 14163 and 14181 is 3.

Also check out the Least Common Multiple of 14163 and 14181