what is the Greatest common factor of 4w^3 and 13w^2
I am thinking it's 52w
Lisa please ignore the errata on your previous post. And the GCF of these is not 52w, instead it is w^2. You see, GCF is the common factor, and I think you've been trying to find the LCM and multiplying 13 and 13.
To find the greatest common factor (GCF) of 4w^3 and 13w^2, we need to determine the largest factor that both terms share.
Step 1: The GCF of the coefficients (numbers in front of the variables) is simply the GCF of 4 and 13, which is 1 since there are no common factors other than 1 between them.
Step 2: Next, we consider the variables. In this case, the variable "w" is common to both terms. To find the GCF of the variables, we need to choose the lowest exponent of "w" that appears in both terms, which is w^2 (since w^3 contains w^2 as a factor).
Step 3: To compute the final GCF, multiply the GCF of the coefficients and the GCF of the variables together. In this case, it is 1 * w^2 = w^2.
Therefore, the greatest common factor (GCF) of 4w^3 and 13w^2 is w^2.