Is it the same to pay social security in Gongan County and Shishou City?

It's all the same, there's not much difference.

You can ask the relevant personnel for details.

Social security is a system in which the state or the government is the main body, and through the redistribution of national income, citizens are given material help when they temporarily or permanently lose their ability to work and have difficulties in life for various reasons, so as to ensure their basic livelihood. The essence of social security is the pursuit of fairness, which must be based on legislation or law. Its basic contents include social insurance, social relief and social welfare.