The Fundamental Theorem of Classical Algebra- \textquotedblleft If $f(z)$ is a polynomial of degree $n$ with real or complex coefficients, then the equation $f(z)=0$ has at least one root \textquotedblright\ is the most renowned value distribution theorem, and consequently every such given polynomial can take any certain value, real or complex. In the value distribution theory, one study how an entire function assumes some values and, on the other hand, what is the influence of taking certain values on a function in some exact approach. Furthermore it deals with various sides of the behavior of entire functions, one of which is the study of their comparative growth. Accordingly, study of comparative growth properties of composite entire functions in terms of their maximum terms are very well known area of research which we attempt in this paper. Here, in this paper, we have discussed maximum terms based some growth properties of composite
entire functions with respect to their left or right factor using $(\alpha,\beta ,\gamma )$-order and $(\alpha ,\beta ,\gamma )$-lower order.