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In the family grand unification models (fGUTs), we propose that gauge U(1)'sbeyond the minimal GUT gauge group are family gauge symmetries. For thesymmetry $L_\mu-L_\tau$, i.e. $Q_{2}-Q_{3}$ in our case, to be useful for theLHC anomaly, we discuss an SU(9) fGUT and also present an example in Georgi'sSU(11) fGUT.

$L_{\mu}-L_{\tau}$ effects to quarks and leptons from flavor unification