find the greatest common factor is 16x^2 and 48x^3
show your steps
To find the greatest common factor (GCF) of 16x^2 and 48x^3, we need to find the highest possible power of x that divides both terms.
Step 1: Prime factorize the coefficients.
16 = 2^4
48 = 2^4 * 3
Step 2: Compare the powers of x in each term.
x^2 and x^3
Step 3: The GCF of 16x^2 and 48x^3 is the highest power of x that divides both terms, which is x^2.
Therefore, the GCF is 16x^2.