What is the Greatest Common Factor of 16170 and 16190?

Greatest common factor (GCF) of 16170 and 16190 is 10.

GCF(16170,16190) = 10

We will now calculate the prime factors of 16170 and 16190, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16170 and 16190.

How to find the GCF of 16170 and 16190?

We will first find the prime factorization of 16170 and 16190. After we will calculate the factors of 16170 and 16190 and find the biggest common factor number .

Step-1: Prime Factorization of 16170

Prime factors of 16170 are 2, 3, 5, 7, 11. Prime factorization of 16170 in exponential form is:

16170 = 2¹ × 3¹ × 5¹ × 7² × 11¹

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 16170

List of positive integer factors of 16170 that divides 16170 without a remainder.

1, 2, 3, 5, 6, 7, 10, 11, 14, 15, 21, 22, 30, 33, 35, 42, 49, 55, 66, 70, 77, 98, 105, 110, 147, 154, 165, 210, 231, 245, 294, 330, 385, 462, 490, 539, 735, 770, 1078, 1155, 1470, 1617, 2310, 2695, 3234, 5390, 8085

Step-4: Factors of 16190

List of positive integer factors of 16190 that divides 16170 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16170 and 16190. The biggest common factor number is the GCF number.
So the greatest common factor 16170 and 16190 is 10.

Also check out the Least Common Multiple of 16170 and 16190