Operating system and Hardware
Operating system is main part of smartphone. So we can start comparison from here. The Samsung Galaxy Grand Max and Samsung Galaxy E7 are packed with Android v4.4.4 (KitKat) OS. Samsung used MSM8916 Qualcomm Snapdragon 410 chipset in both phones, which has integrated 1.2 GHz Quad-core Cortex-A53 processor and Adreno 306 GPU. The only difference in hardware is RAM capacity. Grand Max has 1.5GB RAM while Galaxy E7 has 2GB RAM. Here you can give little bit priority in Galaxy E7.
Display size and resolutions are very impotent while purchasing a smartphone. Galaxy Grand Max has 5.25 inches HS IPS LCD capacitive touchscreen with 720 x 1280 pixels resolutions and 282 ppi pixel density. The Galaxy E7 has 5.5 inches HD Super AMOLED capacitive touchscreen with 720 x 1280 pixels resolutions and 267 ppi pixel density. here we can see the slight variance in display size and pixel density in both phones. Galaxy E7 has big display while comparing to Grand Max. Samsung used their own Super AMOLED technology in Galaxy E7.
Storage and battery
Samsung offering 16GB internal storage in both phones with microSD card slot. You can use second SIM card slot for microSD card expansion in Galaxy E7.
Samsung Galaxy Grand Max is coming with 2500 mAh replaceable Li-Ion battery. The gramd max in packed with 2950 mAh Non-removable Li-Ion battery.
Camera and Body
Both phones are coming with 13MP rear and 5MP front camera with rear LED flash and offers all other camera features. There is no difference in camera side.
Galaxy grand max in packed with 5.75 x 2.94 x 0.31 inches dimensions and 161 grams weight. The other one has, 5.96 x 3.04 x 0.29 inches dimensions.
Mobile network and other connectivity
If you are planing to buy 4G LTE enabled phone, go and buy Galaxy Grand Max. There is no 4G network support in Galaxy E7. Both phones will support Quad band 2G and 3G network. For data transferring and sharing, these phones have Wi-Fi, Bluetooth, A-GPS and microUSB connectivity.
In hardware side, Samsung Galaxy E7 is good for you. If you are planing to buy 4G SIM card supported phone, Go and buy Samsung Galaxy Grand Max. Both phones are coming with almost same specifications. The mobile network connectivity and RAM capacity is notable difference. Difference in display size and battery capacity is negligible.