What is the Greatest Common Factor of 16170 and 16178?

Greatest common factor (GCF) of 16170 and 16178 is 2.

GCF(16170,16178) = 2

We will now calculate the prime factors of 16170 and 16178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16170 and 16178.

How to find the GCF of 16170 and 16178?

We will first find the prime factorization of 16170 and 16178. After we will calculate the factors of 16170 and 16178 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 16178

Prime factors of 16178 are 2, 8089. Prime factorization of 16178 in exponential form is:

16178 = 2¹ × 8089¹

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 16178

List of positive integer factors of 16178 that divides 16170 without a remainder.

1, 2, 8089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16170 and 16178. The biggest common factor number is the GCF number.
So the greatest common factor 16170 and 16178 is 2.

Also check out the Least Common Multiple of 16170 and 16178