What is the Greatest Common Factor of 16170 and 16181?

Greatest common factor (GCF) of 16170 and 16181 is 11.

GCF(16170,16181) = 11

We will now calculate the prime factors of 16170 and 16181, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16170 and 16181.

How to find the GCF of 16170 and 16181?

We will first find the prime factorization of 16170 and 16181. After we will calculate the factors of 16170 and 16181 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 16181

Prime factors of 16181 are 11, 1471. Prime factorization of 16181 in exponential form is:

16181 = 11¹ × 1471¹

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 16181

List of positive integer factors of 16181 that divides 16170 without a remainder.

1, 11, 1471

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16170 and 16181. The biggest common factor number is the GCF number.
So the greatest common factor 16170 and 16181 is 11.

Also check out the Least Common Multiple of 16170 and 16181