Find the GCF for the given list. \[ y^{8}, y^{2}, y^{9} \]

To find the greatest common factor (GCF) of the terms \( y^{8}, y^{2}, y^{9} \), we need to look for the lowest exponent among the variables. Here, the exponents are 8, 2, and 9. The smallest exponent is 2, which is for \( y^{2} \). Thus, the GCF of the given list is \( y^{2} \). To break it down further, remember that the GCF simply represents the highest degree of commonality among the variables. In algebra, identifying the GCF can help simplify expressions and equations, making calculations smoother and more efficient. So, by knowing how to find the GCF, you equip yourself with a nifty mathematical tool for various algebraic tasks! Also, don’t forget that understanding how to factor and find GCFs can ease your journey into more complex problems, like polynomial equations or algebraic fractions. Keep practicing these concepts—they are the building blocks for advanced topics in algebra!