Similarity: Involved employing supporters to office
Henry Clay supported John Quincy Adams during the 1824 election; in return, John Quincy Adams made Henry Clay Secretary of State after defeating Andrew Jackson for the presidency.
During his presidency, Andrew Jackson gave office jobs exclusively to his democratic supporters.
Difference: Not much difference, but the Corrupt Bargain happened during and after an election while the spoils system was developed during Jackson's presidency.
Explanation: The main reason why many enslaved people decided to join the British forces during the Revolutionary War was because they were seeking liberty. The slave population believed that they had better chances of being able to gain liberty if they were to side with the British forces.