The free stable laws X(alpha, rho) are the random variables characterized by the Voiculescu transform with stability index alpha and asymmetry coefficient rho. In this talk, we will prove that X(alpha, rho) is infinite divisible for any alpha in (0,1] and rho in [0, 1]. We will further show that they are extended generalized Gamma Convolutions for alpha in (0, 3/4] and rho in [0, 1]. This is a joint work with Thomas Simon and Takahiro Hasebe.