The Midwest (East North Central & West North Central) and the Great Plains overlap significantly. The U.S. Census Bureau defines the Midwest as 12 states; the Great Plains span portions of 10 states, extending west to the Rockies.
Core Plains States: North Dakota, South Dakota, Nebraska, Kansas, Oklahoma, Texas (panhandle), Montana (eastern), Wyoming (eastern), Colorado (eastern), New Mexico (eastern).
Overlap: Iowa, Minnesota, Missouri, Arkansas, Louisiana (small portions).
The Midwest is a cultural/economic region; the Great Plains is a physiographic region defined by flatgrass prairies. States like Iowa and Missouri are fully Midwestern but only partially Plains. Montana and Colorado are Plains but not Midwestern.