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We report on the measurement of the beam asymmetry $\Sigma$ for the reactions$\vec{\gamma}p\rightarrow p\eta$ and $\vec{\gamma}p \rightarrow p\eta^{\prime}$from the GlueX experiment, using an 8.2--8.8 GeV linearly polarized taggedphoton beam incident on a liquid hydrogen target in Hall D at Jefferson Lab.These measurements are made as a function of momentum transfer $-t$, withsignificantly higher statistical precision than our earlier $\eta$measurements, and are the first measurements of $\eta^{\prime}$ in this energyrange. We compare the results to theoretical predictions based on $t$--channelquasi-particle exchange. We also compare the ratio of $\Sigma_{\eta}$ to$\Sigma_{\eta^{\prime}}$ to these models, as this ratio is predicted to besensitive to the amount of $s\bar{s}$ exchange in the production. We find thatphotoproduction of both $\eta$ and $\eta^{\prime}$ is dominated by naturalparity exchange with little dependence on $-t$.

Beam Asymmetry $\mathbf{\Sigma}$ for the Photoproduction of $\mathbf{\eta}$ and $\mathbf{\eta^{\prime}}$ Mesons at $\mathbf{E_{\gamma}=8.8}$GeV