What is the Greatest Common Factor of 16172 and 16190?

Greatest common factor (GCF) of 16172 and 16190 is 2.

GCF(16172,16190) = 2

We will now calculate the prime factors of 16172 and 16190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16172 and 16190.

How to find the GCF of 16172 and 16190?

We will first find the prime factorization of 16172 and 16190. After we will calculate the factors of 16172 and 16190 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 16190

Prime factors of 16190 are 2, 5, 1619. Prime factorization of 16190 in exponential form is:

16190 = 2¹ × 5¹ × 1619¹

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 16190

List of positive integer factors of 16190 that divides 16172 without a remainder.

1, 2, 5, 10, 1619, 3238, 8095

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16172 and 16190. The biggest common factor number is the GCF number.
So the greatest common factor 16172 and 16190 is 2.

Also check out the Least Common Multiple of 16172 and 16190