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No. There are 30 of them inclusively, or 28 of them exclusively. There are however an infinite quantity of non-integers between them.
30
Any number between 30 and 40 can be a factor. The common factors of 30 and 40 are 1, 2, 5 and 10.
36 is the square number between 30 and 45
if 30 and 40 count as in between it's 30 but otherwise the closest is 35 but the factors are 5,7 and technically 1. 1+5+7=13