These generators are portables? Not wired into any switchgear? OK.
Leave the scope grounded. Connect the scope probe ground to the generator chassis. Probe the 'Neutral' on the generator output, and you should see almost nothing. We are just checking to see if the generator has the neutral connected to chassis ground. Assuming it does, carefully probe the hot side of the output. Do use the 10:1 probe, and make sure the scope is set to accept the expected voltage. 20 V/div or perhaps 50 V/div would be good.
Alternately you could connect a filament transformer to the output and then scope the output of that transformer. A transformer will not appreciably affect the waveform.