  We present calculations of the prompt photon photoproduction at HERA collider
in the k_T-factorization approach. Both direct and resolved contributions are
taken into account. The conservative error analisys is performed. The
unintegrated parton densities in a proton and in a photon are determined using
the Kimber-Martin-Ryskin prescription. We investigate both inclusive and
associated with jet prompt photon photoproduction rates. In particular, we
study the angular correlations between produced photon and hadronic jet in the
transverse momentum plane which can provide a unique information about
non-collinear evolution dynamics. We compare our theoretical predictions with
recent experimental data taken by the H1 and ZEUS collaborations.
