None..state powers have state powers and federal powers have federal powers.
The powers not given to the federal government belongs to the state so they each have different powers.
...The powers of state governments.
Federalists in general favor the division and separation of powers. These powers are known as the executive, legislative, and judicial. They favor elections as a means of electing officials. To them, the Presidency is the most important institution.
They wanted to expand the nation's industries by supporting business, trade, and manufacturing They balanced the state and federal government's powers
a strong central government
Federalists favored the passage of the US Constitution. Anti-Federalists opposed passage because, among other things, they thought the Constitution gave too much power to the federal government at the expense of the state governments. So clearly the Federalists wanted stronger national government and the Anti-Federalists wanted a weaker national government (and, in a zero-sum game, stronger state governments). The ensuing discussion led to the Bill of Rights.
federalists
The Federalists favored the Executive branch. They were all for strengthening the presidential powers and keeping the states rights limited.
federalists wanted the constitution to remainn in its origanal state without the bill of rights. anti federalists wanted the bill of rights
The anti-federalists believed that the Federalists' plan posed a threat to state governments and to the rights of individuals.
Federalists
a strong national government anti federalists stand for strong state governments
The biggest conflicts in the drafting of the United States Constitution and setting up the government were between the Federalists and the Anti-Federalists. Federalists wanted a stronger central government, with less power reserved for the states.