We study a large-dimensional Dynamic Factor Model where: (i) the vector of factors F t is I ( 1 ) and driven by number shocks that smaller than dimension ; and, (ii) idiosyncratic components are either or 0 . Under (i), cointegrated can be modeled as Vector Error Correction (VECM). (ii), we provide consistent estimators, both cross-sectional size n time T go to infinity, for factors, loadings, ...