Final answer:
The Greatest Common Factor (GCF) of the terms 39x and 30x is 3x, which is found by identifying the common numerical factor of 3 and the variable x that is present in both terms.
Step-by-step explanation:
The Greatest Common Factor (GCF) of the terms 39x and 30x is what we are looking to find. We begin by identifying the GCF of the numerical coefficients 39 and 30, and considering the variable part x, which is common to both terms.
First, we can list the factors of 39:
1, 3, 13, 39.
Then, we list the factors of 30:
1, 2, 3, 5, 6, 10, 15, 30.
The common factors are 1 and 3, so the GCF for the numerical part is 3. As both terms contain at least one factor of x, the variable part of the GCF is x.
Thus, the overall GCF for the terms 39x and 30x is 3x.