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Let's first write the electron configurations for both elements. Bromine (Br) has an atomic number of 35. Its electron configuration is given by: \[1s^2 2s^2 2p^6 3s^2 3p^6 4s^2 3d^{10} 4p^5.\] Chlorine (Cl) has an atomic number of 17. Its electron configuration is given by: \[1s^2 2s^2 2p^6 3s^2 3p^5.\] Both elements are found in the same group (group 7A) in the periodic table, and therefore have the same number of valence electrons, which in this case is 7.

Considering they both are in group 7A, they tend to gain an electron to have a complete outer shell, and therefore, the most common ionic charge for both elements is -1.

Ionization energy is the energy required to remove an electron from an atom in the gas phase. As we move up a group in the periodic table, the ionization energy increases. Since Chlorine is above Bromine in group 7A, Chlorine has a higher first ionization energy.

Both Chlorine and Bromine react with water. However, Chlorine is more reactive than Bromine. One of the reasons for this is the higher electronegativity found in Chlorine, which promotes a greater tendency to react with water.

Electron affinity is the energy change when an electron is added to an atom. Generally, electron affinity increases across periods and decreases down a group. Since Chlorine is above Bromine, Chlorine has a higher electron affinity.

The atomic radius is the distance from the nucleus to the outermost electron shell. As we move down a group in the periodic table, the atomic radius increases. This is due to the increasing number of electron shells as we move down the group. Bromine has a larger atomic radius compared to Chlorine. In conclusion, both Bromine and Chlorine are found in group 7A and therefore share similar characteristics in terms of valence electrons and common ionic charges. However, there are differences between the two elements, with Chlorine having higher ionization energy, reactivity toward water, and electron affinity, while Bromine has a larger atomic radius. These differences can be attributed to the positions of the two elements in the periodic table, with Chlorine located above Bromine.