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Under the hypothesis of gravitational redshift induced by the centralsupermassive black hole, and based on line widths and shifts of redward shiftedH$\beta$ and H$\alpha$ broad emission lines for more than 8000 SDSS DR7 AGNs,we measure the virial factor in determining supermassive black hole masses. Thevirial factor had been believed to be independent of accretion radiationpressure on gas clouds in broad-line region (BLR), and only dependent oninclination effects of BLR. The virial factor measured spans a very largerange. For the vast majority of AGNs ($>$96%) in our samples, the virial factoris larger than $f=1$ usually used in literatures. The $f$ correction makes thepercent of high-accreting AGNs decrease by about 100 times. There are positivecorrelations of $f$ with the dimensionless accretion rate and Eddington ratio.The redward shifts of H$\beta$ and H$\alpha$ are mainly the gravitationalorigin, confirmed by a negative correlation between the redward shift and thedimensionless radius of BLR. Our results show that radiation pressure force isa significant contributor to the measured virial factor, containing theinclination effects of BLR. The usually used values of $f$ should be correctedfor high-accreting AGNs, especially high redshift quasars. The $f$ correctionincreases their masses by one--two orders of magnitude, which will make it morechallenging to explain the formation and growth of supermassive black holes athigh redshifts.

Measuring the Virial Factor in SDSS DR7 AGNs with Redshifted H$\beta$ and H$\alpha$ Broad Emission Lines