What is the Greatest Common Factor of 16172 and 16192?

Greatest common factor (GCF) of 16172 and 16192 is 4.

GCF(16172,16192) = 4

We will now calculate the prime factors of 16172 and 16192, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16172 and 16192.

How to find the GCF of 16172 and 16192?

We will first find the prime factorization of 16172 and 16192. After we will calculate the factors of 16172 and 16192 and find the biggest common factor number .

Step-1: Prime Factorization of 16172

Prime factors of 16172 are 2, 13, 311. Prime factorization of 16172 in exponential form is:

16172 = 2² × 13¹ × 311¹

Step-2: Prime Factorization of 16192

Prime factors of 16192 are 2, 11, 23. Prime factorization of 16192 in exponential form is:

16192 = 2⁶ × 11¹ × 23¹

Step-3: Factors of 16172

List of positive integer factors of 16172 that divides 16172 without a remainder.

1, 2, 4, 13, 26, 52, 311, 622, 1244, 4043, 8086

Step-4: Factors of 16192

List of positive integer factors of 16192 that divides 16172 without a remainder.

1, 2, 4, 8, 11, 16, 22, 23, 32, 44, 46, 64, 88, 92, 176, 184, 253, 352, 368, 506, 704, 736, 1012, 1472, 2024, 4048, 8096

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16172 and 16192. The biggest common factor number is the GCF number.
So the greatest common factor 16172 and 16192 is 4.

Also check out the Least Common Multiple of 16172 and 16192