What is the Greatest Common Factor of 16156 and 16170?

Greatest common factor (GCF) of 16156 and 16170 is 14.

GCF(16156,16170) = 14

We will now calculate the prime factors of 16156 and 16170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16156 and 16170.

How to find the GCF of 16156 and 16170?

We will first find the prime factorization of 16156 and 16170. After we will calculate the factors of 16156 and 16170 and find the biggest common factor number .

Step-1: Prime Factorization of 16156

Prime factors of 16156 are 2, 7, 577. Prime factorization of 16156 in exponential form is:

16156 = 2² × 7¹ × 577¹

Step-2: 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-3: Factors of 16156

List of positive integer factors of 16156 that divides 16156 without a remainder.

1, 2, 4, 7, 14, 28, 577, 1154, 2308, 4039, 8078

Step-4: Factors of 16170

List of positive integer factors of 16170 that divides 16156 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16156 and 16170. The biggest common factor number is the GCF number.
So the greatest common factor 16156 and 16170 is 14.

Also check out the Least Common Multiple of 16156 and 16170