There is another consideration, which is very important with wideband op amps, and that is the time constant comprised of the input capacitance and the Thevenin resistance seen by the inverting input. This time constant is an additional pole in the feedback loop, and can cause frequency peaking (ringing on fast edges), or even oscillation.
It can also be an issue on lower bandwidth amplifiers, especially on breadboards with high stray capacitances, or circuits which have unavoidable capacitance to ground.
Here is a sim of a gain-of-10 amplifier where the op amp has a 180MHz GBW (gain-bandwidth) product, and an input capacitance of about 2pF. Note that the sim has no stray PC board capacitance, which is inevitable in the real world.
The resistor values in the sim go from 1k/100 to 10k/1k to 100k/10k to 1Meg/100k as the peaking increases. Notice that the peaking never goes away entirely. This can be remedied by adding a cap across the feedback resistor, but the required value is so tiny that it is difficult to do.