Earnings per Share - Schwesser Qbank Problem comparison, statements, different, valuation

JRossSter

I was doing a Qbank practice test where the one question was: 2 statements where you had to say whether both statements are correct, 1 is correct or both are incorrect. The one statement is as follows:
One of the benefits of earnins per share as a valuation metric is that it facilitates the comparison of firms of different sizes.
I thought this statement to be true but it was considered incorrect. The explanation as to why is that two firms may have the same amount of earnings but the number of shares may differ significantly.
Can someone explain this answer in better terms as wouldn’t the fact that you can compare earnings on a per-share basis make comparisons between firms easier? This explanation just didn’t really sit well with me. If someone could elaborate or maybe explain their explanation better it would be much appreciated.
Regards