Gravitational pull is determined mass and distance. The greater the mass, the shorter the distance, the greater the pull.
1. This is what distinguishes neutron star from any other star - distance to the center.
2. Black hole is commonly considered as a singularity, 'pure mass'. So, at the same mass, a black hole would generate the greater pull than a neutron star.
However, an international team of astrophysicists has now found a distinctive signature of black hole event horizons.
3. Neutron stars are among the densest objects in the Universe. Still we can distinguish between a neutron star and a black hole as neutron stars release emissions from the hard-surface.