There are benefits and drawbacks with both: There is no mess with gas, other than stuff sticking to the grill plate that you'll need to scrub off, but you get that with any grill. On the other hand, some people taste a little "gassy" residue. I don't, but some do.
There is a lot of ash to dispose of with charcoal. It also leaves a residue on the food that just about anyone can taste, but it tastes good. However, it may be carcinogenic if you don't have marinade or baste on it.
Both aren't "green", but then, unless you eat your food raw, nothing is. Charcoal is made from trees; and the gas is normally propane. Propane is cheaper but less renewable.
What I think tastes best is a gas grill with a smoker basket, where you can add various kinds of wood chips. I often put hickory chips in mine, because hickories are abundant in my area. Some barbecue champions will only use special smoker grills.
These are the big barrel-shaped ones you sometimes see at festivals.
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