  Strong gravitational lensing provides unique opportunities to investigate the
mass distribution at the cores of galaxy clusters and to study high redshift
galaxies. Using $94$ strong lensing models of $74$ cluster fields from the
\textit{Hubble} Frontier Fields (HFF), Reionization Lensing Cluster Survey
(RELICS), and Sloan Giant Arcs Survey (SGAS), modeled with three parametric
approaches, we evaluate the lensing strength of each cluster (area with
$|\mu|\geq3$ for $z_s=9$). We assess how large scale mass, projected inner core
mass, and the inner slope of the projected mass density profile relate to
lensing strength. While we do not identify a strong correlation between lensing
strength and large scale mass, we reveal that the inner slope ($50$ kpc~$\leq r
\leq~200$ kpc) of the projected mass density profile is indicative of lensing
strength and can set an upper bound on the possible lensing strength of a
cluster. We find that the effective Einstein area correlates with lensing
strength, and that a large ($\gtrsim 30\farcs0$) radial extent of lensing
evidence is a strong indicator of a powerful lens. These results can help to
more efficiently design future observations to maximize lensing strength.
