Sen. Rand PaulRandal (Rand) Howard PaulGraham promises ObamaCare repeal if Trump, Republicans win in 2020 Conservatives buck Trump over worries of 'socialist' drug pricing Rand Paul to 'limit' August activities due to health MORE (Ky.) narrowly tops a packed group of potential GOP presidential candidates in a poll released Sunday.

According to a CNN-ORC poll, Paul brings in 16 percent of the vote among Republicans and Republican-leaning independents. He is narrowly trailed by Rep. Paul RyanPaul Davis RyanEmbattled Juul seeks allies in Washington Ex-Parkland students criticize Kellyanne Conway Latina leaders: 'It's a women's world more than anything' MORE (Wis.) with 15 percent and Texas Gov. Rick PerryJames (Rick) Richard PerryThe credible case for Texas and its clean energy solutions Oversight: Trump confidant Tom Barrack pushed for Saudi nuclear plant construction Amazon taps Trump ally to lobby amid Pentagon cloud-computing contract fight MORE with 11 percent, both inside the margin of error. 

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Paul has been coming off an impressive showing at the Conservative Political Action Conference earlier this month, where he won the CPAC straw poll for the second year in a row. He topped another straw poll on Saturday in New Hampshire at the Northeast Republican Leadership Conference. 

Former Arkansas Gov. Mike Huckabee brought in 10 percent in the new poll, while Florida Gov. Jeb Bush scored 9 percent. Sen. Ted CruzRafael (Ted) Edward CruzTrump moves forward with F-16 sale to Taiwan opposed by China The Hill's Campaign Report: Battle for Senate begins to take shape O'Rourke says he will not 'in any scenario' run for Senate MORE (Texas) and New Jersey Gov. Chris Christie each had 8 percent. 

Polling in the GOP primary has consistently shown a tight pack, while former Secretary of State Hillary Clinton has dominated polls for the Democratic nomination. 

She leads Democrats with 63 percent of the vote compared to Vice President Biden's 13 percent, according to the poll. 

The poll surveyed 367 people affiliated with the Republican party and 372 people aligned with the Democratic Party. It contains a 5-percentage-point margin of error.