Both Olympus E-M5 and Panasonic GX7 have Four Thirds sized 16.0 MP resolution sensors so sensor size and resolution is not a differentiator between these two cameras.
Below you can see the E-M5 and GX7 sensor size comparison.
Sensor Size and Resolution Comparison image of Olympus E-M5 and Panasonic GX7 Cameras
Olympus E-M5 and Panasonic GX7 have the same sensor sizes so they will provide same level of control over the depth of field when used with same focal length and aperture.
DxOMark Sensor Scores
Both Olympus E-M5 and Panasonic GX7 sensors have been tested by DxoMark. DxoMark scores camera sensors for color depth (DXO Portrait), dynamic range (DXO Landscape) and low-light sensitivity (DXO Sports), and also gives them an overall score. Of the two cameras that we are comparing, E-M5 has scored 71, 1 points higher than GX7.
Model
Overall
Color Depth
Dynamic Range
Low-light ISO
Olympus E-M5
71
22.8 bits
12.3 Evs
826 ISO
Panasonic GX7
70
22.6 bits
12.2 Evs
718 ISO
Sensor size sets the circle of confusion, so it drives how much depth of field each
of these bodies gives you at a given aperture. You can calculate it exactly for the
Olympus E-M5
or the
Panasonic GX7 ,
including hyperfocal distance.