Find the greatest common factor. \[ 1,7 h^{2} \]

To find the greatest common factor (GCF) of the expression \(1, 7h^{2}\), we notice that the two terms consist of the number 1 and \(7h^{2}\). The number 1 is a universal factor for all integers, while the second term \(7h^{2}\) has a coefficient of 7 and a variable part of \(h^{2}\). Since 1 does not share any other factors with 7 or \(h^{2}\), the greatest common factor here is simply \(1\), because that’s the only factor they share. Remember, the GCF is important in simplifying fractions, factoring polynomials, and solving problems that require breaking things down to their simplest form! So, when you're in math-land next time, keep an eye out for those common factors; they're your friends in making things easier!