For the data analysis of space-based interferometers, calculating the gravitational waves of Extreme-mass-ratio-inspirals(EMRIs) in a highly accurate and efficient way is in high demand. In this paper, we present so-called 'fully recalibrated waveform' for EMRIs with high accuracy. Based on the numerical data, by solving the Teukolsky equations, we recalibrate all of the mass-ratio independent coefficients of the factorized waveforms that are used in the effective-one-body(EOB) models. Due to these new coefficients with great efficiency(about 1 400 times more efficient than numerically solving the Teukolsky equations with the same computing environment), the precision of waveforms is improved enormously and is more accurate than other existing calibration models by at least one order in magnitude. For this reason, it meets the requirements of the space-based gravitational wave detection mission for the accuracy of EMRI waveform for uninclined, quasi-circular orbits. By investigating the dephasing value with our model, the spin of compact objects and the mass-ratio of the inspiralling system cannot be omitted in the waveform calculations. We believe our model will play an important role in the waveform-template construction of space-based GW detectors.