Below is a $4\times 4$ grid. I want to fill in each cell with exactly one positive integer such that

- all 16 numbers are distinct,
- each number is less than or equal to 30, and
- the product of the 4 numbers in any row, column, or diagonal is equal.

Is this possible?

Yes, it is possible
No, it is not possible

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Here are two examples, with the same numbers: