We report on the measurement of the beam asymmetry
Σ
for the reactions
→
γ
p
→
p
η
and
→
γ
p
→
p
η
′
from the GlueX experiment using an 8.2–8.8-GeV linearly polarized tagged photon beam incident on a liquid hydrogen target in Hall D at Jefferson Laboratory. These measurements are made as a function of momentum transfer
−
t
with significantly higher statistical precision than our earlier
η
measurements and are the first measurements of
η
′
in this energy range. We compare the results to theoretical predictions based on
t
-channel quasiparticle exchange. We also compare the ratio of
Σ
η
to
Σ
η
′
to these models as this ratio is predicted to be sensitive to the amount of
s
¯
s
exchange in the production. We find that photoproduction of both
η
and
η
′
is dominated by natural parity exchange with little dependence on
−
t
.
