If an increase in private savings leads to lower real interest rates, which underlying factor most directly influences this relationship in the loanable funds market?

When people save more money, they have more funds available to lend in the loanable funds market. This increase in savings means that there is a larger supply of money for banks and financial institutions to lend to others. When the supply of loanable funds goes up, the cost of borrowing, which is the real interest rate, tends to go down because there is more money available than people who want to borrow it. For example, if a community suddenly saves more money and deposits it in banks, those banks can lower their interest rates to attract borrowers since they have plenty of funds to lend. Therefore, the underlying factor that influences this relationship is the supply of loanable funds increasing due to higher private savings.