In applying Mill's Utilitarianism theory, the primary focus is on maximizing the benefit for the greatest number of people. The factor least likely to influence the solution in this context is the equality of the benefit provided (Option B), as Utilitarianism primarily concerns the overall happiness and benefit, rather than how equally the benefits are distributed among individuals. This perspective is rooted in the utilitarian principle of achieving the greatest good for the greatest number, often at the expense of equality.