Which Renaissance banking family ruled Florence?

The House of Medici was an Italian banking family and political dynasty that first consolidated power in the Republic of Florence under Cosimo de' Medici and his grandson Lorenzo "the Magnificent" during the first half of the 15th century. The family originated in the Mugello region of Tuscany, and prospered gradually in trade until it was able to fund the Medici Bank. This bank was the largest in Europe in the 15th century and facilitated the Medicis' rise to political power in Florence, although they officially remained citizens rather than monarchs until the 16th century.