The Greatest Integer Function, also known as the Floor Function, is a mathematical function that rounds down a real number to the nearest integer. For example, if you input 3.7 into this function, it will output 3, as 3 is the largest integer less than or equal to 3.7. This function is often denoted as ⌊x⌋, where x is the input value. This function is useful in various fields, including computer science and economics, where discrete values are needed. It helps in scenarios like determining the number of complete items that can be produced or the maximum number of people that can fit in a space.