Park has been engulfed by a scandal that centres on Choi Soon-Sil, who is accused of using her personal ties with the president to coerce local firms to donate millions of dollars to non-profit foundations Choi then used for personal gain.
Choi, 60, is also accused of interfering in state affairs to the extent of nominating officials and editing Park's speeches even though she has no official title or security clearance.
They also allegedly reported state affairs or leaked confidential documents to her.
TV news footage showed the pair separately entering the Seoul prosecutors' office this morning as they were mobbed by reporters.
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The two, who served as Park's aides for decades, were described by local media as "doorknobs" to the president who wielded enormous power over policymaking.
Two other presidential aides have been arrested in the snowballing influence-peddling scandal.
Choi, whose father was an elusive religious figure and a longtime mentor to Park until his death in 1994, was arrested earlier this month for abuse of power and fraud.
A mass rally held in Seoul on Saturday drew one million people, according to organisers, making it the largest public protest in the South for nearly three decades.
Park also faces allegations that she helped Choi extract money from local companies including Samsung and Hyundai. Prosecutors are seeking to formally question her this week.
If she agrees, Park will become the first South Korean president to be probed while in office.
Under South Korea's constitution, the incumbent president may not be charged with a criminal offence except insurrection or treason.
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