Adding support for factor will take some time. However, you can quickly export the tables of factor command using the wmat command of asdocx, that is writing matrix. See this example.
* Load example datawebuse bg2, clear
* Run the factor commandfactor bg2cost1-bg2cost6
* Save the matrix in L
mat L = e(L)
* Export the matrix with asdocx using wmat commandasdocxwmat, mat(L) replace title(Factor loadings (pattern matrix)
Factor loadings (pattern matrix) and unique variances