in the owen, heat absorbed by two metals are different due to their specific heat(c -- Q=mct). the one that absorbed more heat, should cool down slower if their shapes are the same.
outside the owen, heat transferred to the air with related equation -- heat conductivity q=kAt/d. with the same amount of heat, block with better conductivity -- larger surface area(A), more thermal conductivity(k) and thiner(d), should have lower the temperature.
----- above is for you to understand where are the factors came from. not to answer as such.
in summary related factors are specific heat, thermal conductivity, surface area and thickness of the material. use this to explain such as 'one has larger surface area so it cool down faster'