Find the greatest common factor for the list of terms
X^3,X^7,X^8
The greatest common factor for X^3, X^7, and X^8 is X^3, since it is the highest power of X that divides evenly into all three terms.
To find the greatest common factor (GCF) for the list of terms X^3, X^7, and X^8, we need to identify the highest power of X that is common to all three terms.
Let's consider the exponents of X in each term:
For X^3: The exponent of X is 3.
For X^7: The exponent of X is 7.
For X^8: The exponent of X is 8.
To determine the GCF, we look for the smallest exponent among the three terms because the GCF cannot have an exponent greater than this smallest exponent.
In this case, the smallest exponent is 3. Therefore, the GCF for X^3, X^7, and X^8 is X^3.