Hello,
To allow the use of the standard formulas for opamp amplifiers, the GBW need to be far above the gain*frequency product that you want to obtain. To be more precise, (opamp gain)*feedback >> 1. So if you want a voltage gain of 10, the GBW of the opamp should be 50 MHz or above.
You may know that the opamp has input capacitance also, when you make the resistors too large, you get an additional reduction of the feedback and an additional phase shift in it, this may result in instability or peak in the gain versus frequency curve.
Other things are slew rate. If you want several volts of output (let us say 4Vpp), the slew rate should be >> 2*pi*f*vtop = 9V/us
It is a good exercise to evaluate a complete opamp circuit, including the internal frequency dependency and external frequency dependency (for example due to input capacitance or capacitive load). It may cost you some A4 sheets. Other thing is to do this in simulation where you can play with the opamp characteristic.