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Force between two charges = (1/4πε)(q₁q₂/r²)
Since the distance is fixed( given as 1m) minimum force will be the case when the charges are minimum.
minimum charge = charge on an electron or proton = 1.6×10^(-19)

So minimum force = (1/4πε)[1.6×10^(-19) × 1.6×10^(-19) /1²]
                           = 9×10^9[1.6×10^(-19)]²
                           = 2.3×10^(-28) N