  In this paper, by applying the multiplier method we obtain a complete
classification of low-order local conservation laws for a generalized
seventh-order KdV equation depending on seven arbitrary nonzero parameters. We
apply the Lie method in order to classify all point symmetries admitted by the
equation in terms of the arbitrary parameters. We find that there are no
special cases of the parameters for which the equation admits extra symmetries,
other than those that can be found by inspection (scaling symmetry and space
and time translation symmetries). We consider the reduced ordinary differential
equations and we determined all integrating factors of the reduced equation
from the combined $x$- and $t$- translation symmetries. Finally, we observe
that all integrating factors arise by reduction of the low-order multipliers of
the generalized seventh-order KdV equation.
