Differential cross sections for the production of at least four jets have been measured in proton-proton collisions at s√=8 TeV at the Large Hadron Collider using the ATLAS detector. Events are selected if the four anti-ktR = 0.4 jets with the largest transverse momentum (pT) within the rapidity range |y| < 2.8 are well separated (ΔRmin4j > 0.65), all have pT > 64 GeV, and include at least one jet with pT > 100 GeV. The dataset corresponds to an integrated luminosity of 20.3 fb−1. The cross sections, corrected for detector effects, are compared to leading-order and next-to-leading-order calculations as a function of the jet momenta, invariant masses, minimum and maximum opening angles and other kinematic variables.