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I need the part number for a replacement jet for the kohler carb on the xt675-2015 engine.....

from the parts diagrams, it looks like you can't just buy the jet, you have to get a carb kit as in you get whole new carb, heat shield and a gasket.for $38 https://www.jackssmallengines.com/jacks-parts-lookup/part/kohler/1485349s

whats wrong with the jet? maybe I or someone else can help you.

The jet was lodged in so tight that I ended up using an easyout to remove it...
I don't think there is enough of it left to repair it...
I bought a kit for it 1475703-s but there is no jet in there...
I think I found one #239981 but I am not sure it is right....
There must be somewhere to get a jet...

I don't think you're going to be able to get just the jet. the reason it was so tight is it was more than likely a fixed main jet.

EDIT: here's a quote straight from the manual These engines are equipped with a fixed main jet
http://www.kohlerpower.cn/engines/onlinecatalog/pdf/14_690_01_EN.pdf