What is the Greatest Common Factor of 16176 and 16191?

Greatest common factor (GCF) of 16176 and 16191 is 3.

GCF(16176,16191) = 3

We will now calculate the prime factors of 16176 and 16191, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16176 and 16191.

How to find the GCF of 16176 and 16191?

We will first find the prime factorization of 16176 and 16191. After we will calculate the factors of 16176 and 16191 and find the biggest common factor number .

Step-1: Prime Factorization of 16176

Prime factors of 16176 are 2, 3, 337. Prime factorization of 16176 in exponential form is:

16176 = 2⁴ × 3¹ × 337¹

Step-2: Prime Factorization of 16191

Prime factors of 16191 are 3, 7, 257. Prime factorization of 16191 in exponential form is:

16191 = 3² × 7¹ × 257¹

Step-3: Factors of 16176

List of positive integer factors of 16176 that divides 16176 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 337, 674, 1011, 1348, 2022, 2696, 4044, 5392, 8088

Step-4: Factors of 16191

List of positive integer factors of 16191 that divides 16176 without a remainder.

1, 3, 7, 9, 21, 63, 257, 771, 1799, 2313, 5397

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16176 and 16191. The biggest common factor number is the GCF number.
So the greatest common factor 16176 and 16191 is 3.

Also check out the Least Common Multiple of 16176 and 16191