Central defender Alexander Callens, who had also scored against Iraq, broke the deadlock in the 84th minute from the rebound after the goalkeeper had saved a Guerrero header.
Guerrero, top marksman at the 2011 Copa America in Argentina with five goals, has scored 20 in 52 internationals, six less than Teofilo Cubillas and level with retired former Newcastle United midfielder Solano.
In five matches under their Uruguayan coach Pablo Bengoechea, who has a contract until the Copa America in Chile next June-July, Peru lost to England and Switzerland in mid-year before beating Panama, Iraq and Qatar.
In other friendlies in the United States on Tuesday, Mexico beat Bolivia 1-0 and Chile overcame a battling Haiti by the same score.
(Writing by Rex Gowar; editing by Sudipto Ganguly)
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