Be careful about washing greasy metal ventahood filters in the dishwasher. There are tough bacteria/virus/mutations that thrive and easily survive in high heat, aren't destroyed by soap because they are embedded in the hydrocarbons that can dislodge and reattach themselves to dishes. Lucky you to have something to recycle, but
I'd wash them in their own "dishpan" with something
like EasyOff oven cleaner, but don't breathe any, don't let it sit on the filter too
long(no more than 5 min.)prior to the dishpan wash, if the filter is aluminum because it might corrode it.
In rinsing, this high heat weather should give the 2 min. "first water " from the outside hose's blast (wear rubber gloves) enough hot water to flush out a lot of the greasy residue. Another solution is to wash it daily. That sticky goo that builds up is bad stuff, not the "ususal" greasy we're familiar with. With my recycled lint/dryer sheets I can remove and toss like a Swiffer and they're safe, long lasting(had this one 15 yrs.), and free after the initial picture frame/wire mesh is in tact.