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Atoms want to have a full outer shell of electrons as this is energetically favorable. Fluorine only needs one to complete its shell. All the halogens do likewise. With fluorine however, the valence electrons are much closer to the nucleus than chlorine, bromine, iodine or astatine. This means there is a stronger pull on electron joining the other valence electrons. This makes fluorine the most reactive element.

For the exact reverse reasons francium is the most reactive metal and would react explosively with fluorine. It has only one electron to lose and that electron is a long way from the nucleus. This makes the hold on the electron weak and it is easily lost and hence extremely reactive.

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