Is Factory reset can fix my problem? I installed lucky patcher and and there's an option there says Install Modded Playstore
then I try what is that then after a while it prompts an error it says not enough space in \system and when I go back in menu I noticed that Play store has gone now Im asking is factory reset can help me in getting back of that play store?
Device:Cloudpad 700
A factory restore will likely not help fix your problem, as the error is within the /system folder, and a factory reset only wipes /data.

In Lucky Patcher, you should have an option to revert non-integrated patches of an app from Lucky Patcher > [App] > Open menu of patches > Remove ODEX with changes.

If that doesn't work:
You are going to have to manually reinstall the Play Store, which can be found here.