They didnt use soap. Instead they would just wash themselves and use clayblocks, pumice, ashes, and/or oil.
What Did The Ancient Greeks Use Instead Of Soap?
They washed themselves with blocks of clay, pumice, sand and ashes then anointed themselves with oil. Afterwards, they scraped sweat and dirt off using a curved bladed metal instrument called a strigil. I found this ancient Greeks soap information at: Www.natural-goat-milk-soap.com/history-of-soap-making.html
Animal fat
They used olive oil
Olive oil
Animal fat, olive oil, perfume, rosewater, ground pumice, and soft creams and lotions.
They would use animal fat soap oils and they used wine for it germ killing ability
They would apply oi to their bodies and have their slaves scrape it off with instruments called stila. Then they would go to the public baths and have a co-ed naked bath.
Greeks don't wash