A hybrid device comprising a (Al)GaAs quantum dot heterostructure and a LiNbO$_3$ surface acoustic wave resonator is fabricated by heterointegration. High acoustic quality factors $Q>4000$ are demonstrated for an operation frequency $fapprox 300$ MHz. The measured large quality factor-frequency products $Qtimes f>10^{12}$ ensures the suppression of decoherence due to thermal noise for temperatures exceeding $T>50,mathrm{K}$. Frequency and position dependent optomechanical coupling of single quantum dots and the resonator modes is observed.
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