For any positive integer n, what is the greatest common divisor of all numbers in the form of "the 3rd power of N + 3 times of n square + 2 times of n"

For any positive integer n, what is the greatest common divisor of all numbers in the form of "the 3rd power of N + 3 times of n square + 2 times of n"

Original formula = n (n & # 178; + 3N + 2)
=n(n+1)(n+2)
If there are three consecutive integers, at least one of them is even
And a number is a multiple of 3
So the greatest common divisor is 2 × 3 = 6