In my opinion, the easiest way would be to set the region according to your
GeoTIFF. You can do that with g.region using the parameter rast=your_raster

More here:
http://grass.itc.it/gdp/html_grass64/g.region.html

If you set the region to your GeoTIFF, the extent and resolution of the
region will match its original specifications so your output file should be
~ the same size as the original :)
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