=MAX(IF((A4:A22="Org01")*(B4:B22="FACTOR2"),C4:C22,""))
confirmed with control +shift+enter
will return max for org1 factor 2
then add them together so 
=MAX(IF((A4:A22="Org01")*(B4:B22="FACTOR2"),C4:C22,""))+MAX(IF((A4:A22="Org02")*(B4:B22="FACTOR2"),C4:C22,""))+MAX(IF((A4:A22="Org03")*(B4:B22="FACTOR2"),C4:C22,""))
and confirm with control +shift+enter
so it looks like this 
{=MAX(IF((A4:A22="Org01")*(B4:B22="FACTOR2"),C4:C22,""))+MAX(IF((A4:A22="Org02")*(B4:B22="FACTOR2"),C4:C22,""))+MAX(IF((A4:A22="Org03")*(B4:B22="FACTOR2"),C4:C22,""))}
gives totals for max org1,2,3 factor2