This paper is concerned with factor/zero coprimeness of 2-D polynomial matrices, and studies relating 'Bezout identities' and some of their properties. First, we show that a pair of factor coprime matrices satisfies the particular 'Bezout identities', which are useful for feedback stabilization. Secondly, we investigate the properties of the common minor zeros (common zeros of all the maximum minors) of factor coprime factorizations of 2-D transfer function matrices. Finally, we apply the results to time-delay systems of neutral or retarded type, and provide tests for the spectrally controllability/canonicality.