You can easily calculate on this page the Congruence Index Icong of two phylogenetic trees. This index, associated with its P-value, indicates if two trees are topologically more congruent than expected by chance.
For
details concerning this
index, see the article by de Vienne, D. M., Giraud, T. and Martin, O.
C.
Trees must be at the Newick format, without branch lengths. The leaves that are associated in both phylogenies must have the same name in both phylogenies. Trees must be fully resolved (no polytomies). Each leave in one phylogeny must have one and only one associated leave in the other. Names of the leaves cannot be numbers.