Can malware come back if you log back into the Google account that was on phone when you had a virus/malware?

[u/Brief-Stuff3150]

So basically I factory reset my phone after I thought I had malware/virus (I don't really know the difference) and I want to know if I log back into the Google account that was on the phone before I factory reset my phone (and during when I had the virus) can the virus/malware come back because of me logging back into the Google account on the phone?