What is the Greatest Common Factor of 16172 and 16185?

Greatest common factor (GCF) of 16172 and 16185 is 13.

GCF(16172,16185) = 13

We will now calculate the prime factors of 16172 and 16185, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16172 and 16185.

How to find the GCF of 16172 and 16185?

We will first find the prime factorization of 16172 and 16185. After we will calculate the factors of 16172 and 16185 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 16185

Prime factors of 16185 are 3, 5, 13, 83. Prime factorization of 16185 in exponential form is:

16185 = 3¹ × 5¹ × 13¹ × 83¹

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 16185

List of positive integer factors of 16185 that divides 16172 without a remainder.

1, 3, 5, 13, 15, 39, 65, 83, 195, 249, 415, 1079, 1245, 3237, 5395

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16172 and 16185. The biggest common factor number is the GCF number.
So the greatest common factor 16172 and 16185 is 13.

Also check out the Least Common Multiple of 16172 and 16185