The square root of 17 is between 4 and 5, since $4^2=16$ and $5^2=25$.
Therefore, the greatest integer less than or equal to the square root of 17 is 4.
The square of 4 is $4^2=\boxed{16}$.
The answer is: 16
Below is a math problem. Provide a detailed, step-by-step solution.

### Problem:
What is the value of the square of the greatest integer less than or equal to the square root of 17?

### Answer:
