If i buy a factoryunlocked iphone 5s will i get 4g/Hspa /Lte in my area?

i currently have a google nexus 4 on tmobile prepaid and am getting Hspa speeds everywhere i go on long island new york. If i get the iphone 5s factory unlocked  will i get the same Hspa speeds or just edge. I checked both of the bands on both of the phones and they look very similar.