Find me 5 special squares

Question

Assumption: There are many squares that cannot be written as a number divided by the number of prime factors of that number.
Can you give me $5$ of such squares that are relatively prime?
(Example: $16 = 4^2$ is not such a square since $96 = 4^2times 6$ has $6$ prime factors)

Bass · Accepted Answer

Out of all squares that cannot be reached by dividing some number by that number's prime factor count, these are the five smallest that are all relatively prime, I think:

It looks like

Since we want relatively prime squares, we'll pick

It's definitely a square:

and we can rule out the numbers that could be divided to get it:

And so on, and so on, the number of required factors keeps growing ever further out of reach. The above list includes the 24 and 32 because they have a lot of factors, and I wanted to show how even they don't come close.
And of course the first spoiler block was added as an afterthought, since it seemed funny to write such large numbers. Naturally they are just

So, why 14?

Find me 5 special squares

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