If a single spinal nerve is cut, the area of  tactile  loss  is  always  greater  than the area of loss of painful sensations, because
There is much overlapping between pain carrying fibers as compared to touch.
Tactile information is carried by myelinated fast conducting fibres
Tactile receptors adapt quickly
Degree of overlap of fibres carrying tactile sensation is much less
In the primary sensory cortex, tactile sensation is represented on a larger  area