Step-by-step explanation:
Notice that in n(n + 1)(n + 2)(n + 3):
Exactly 2 of them are multiples of 2,
At least 1 of them is a multiple of 3, and
At least 1 of them is a multiple of 4.
Since one of the multiples of 2 is already counted in the multiple of 4 we can ignore it.
Hence we have 2 * 3 * 4 = 24.
The greater positive integer that must be a factor is 24.
