The Gulf of California (Sea of Cortez) is a marginal sea of the Pacific Ocean, separating the Baja California Peninsula from the Mexican mainland.
Mexico is a sovereign country bordering the United States, Guatemala, Belize, the Pacific Ocean, the Gulf of Mexico, and the Caribbean Sea.
They are entirely distinct: one is a body of water; the other is a nation. The Gulf of California lies within Mexico’s maritime territory but is not synonymous with the country.