Sami Annan becomes the latest in a string of potential competitors to President Abdel-Fattah el-Sissi who have dropped out or been driven from the race.
The offensive has heightened tensions in the already complicated Syrian conflict, threatening to further strain ties between NATO allies Turkey and the U.S.
The vice president is the highest-level official to visit the U.S. ally in nearly a decade. His Mideast trip is not expected to include meeting with Palestinians.
The U.S. faces a more favorable foreign policy environment than it has in some years. Ironically, some of the more severe challenges emanate from President Trump.
The U.S. president speaks by phone with his Egyptian counterpart about the shooting. Responsibility for the church attack is being claimed by Islamic State.
The death toll from the shooting the Al-Rawdah Mosque in the Sinai Peninsula now tops 300, including at least 27 children.