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I believe is just depends on the information that is given in the problem. If you are given equilibrium pressure values, use Kp and if given equilibrium concentration values, use Kc. They each give you the equilibrium constant, K.
Going off of the previous comment, they are both K constants and calculated the same way. Kp is used for gases and Kc is used for aqueous solutions and concentrations. When doing Kp, you use partial pressures of gases. If you are given the concentration of the gases instead of the partial pressures, you convert form concentration to partial pressure using PV=nRT.
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