What is the difference between FHA and Fannie Mae? Other loan types?

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I am intrested in knowing more about the differences, pros and cons, etc about FHA and Fannie Mae.

I am also wondering if there any other loans, pardon me if I am calling it by the wrong name, that are similar but different.

I know there is a lot of different loan types for mortgages, but I do not know what they are

any info helps, thanks!