i would think a steamer mop. .

vinegar and water will clean them just fine.

And also make them shine.

If its real marble then invest in the special marble cleaner. To truly clean marble it s a 3 step process. Clea/npolish/seal.

Any ceramic generally white vinegar and water works well The grout is most often the problem . . Cleaning well and using a penatrating sealer is the best . . Not a cure all but a big help. GL

Ceramic Tile and Slate
Clean tile and slate with warm water only. Prevention becomes essential with these floor surfaces. Regularly apply a sealant found in tile stores to slate, tile and especially the grout. Clean spills immediately. Cleaning stains out of grout can test your patience.

The porous nature of grout means liquid cleaners seep right through. First thoroughly spray a 50/50 solution of hydrogen peroxide and water directly on the spot. Let that set 15 minutes and repeat. Do not use this mixture on colored grout. Peroxide is bleach, safe but nonetheless bleach.

It removes the color from colored grout.

If the stain refuses to budge, soak a heavy-duty paper towel with straight peroxide laying the towel on top of the stain. Cover the towel with plastic wrap to prevent the peroxide from drying out quickly.

The towel holds the peroxide on the surface giving it time to dissolve the stain.

If that doesn’t work, mix a paste of straight peroxide and baking soda.

Allow the bubbling to subside.

Apply to the stain and let it set. Re-spray with peroxide as it dries out.

Shaving cream sprayed on stains also does a good job removing them.

If your grout is colored test an inconspicuous spot first. Tile stores now carry a cleaner stick that resembles chalk.

It is safe to use on colored grout and works wonders.

After you remove the stains from the grout, seal them.

Marble Floors

Use only warm water on marble floors.

The mild acid in vinegar damages marble surfaces.

Again, wring out all excess moisture from a towel and damp mop. Immediately follow with a dry towel.

Always dry marble floors, they spot easily.

Good Luck !

white vinegar dilute half a bottle of white vinegar to 1 bottle of luke warm water. Dont throw it away it will keep if you put it under the sink cupboard

I always used vinegar. However my apartment building used to use dilute murphy’s oil soap and wash, so stains, etc