19. Century Immigration to the US: Germans v. French

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During the 19th century, around 6 million Germans migrated to the United States for what I understand to be economic reasons (work opportunities, land grants, etc.). During the same century, less than a million French did the same. In 1871 when modern Germany was formed, it had a population of about 41,000,000 compared to France's then population of about 37,000,000. In addition to having relatively similar population sizes, Germany and France in 1871 also had relatively similar GDP per capita levels, at $1839 and $1876, respectively (numbers in 1990 international dollars and estimated by British economist Angus Maddison).

So my question is: What explains the huge difference in migration between Germans and French to the United States in the 19th century? Specifically, why did seemingly so few French come?