24x^(3)y^(4)-15xy^(2)-36^(2y3) find the gcf
To find the greatest common factor (GCF) of the terms 24x^(3)y^(4), -15xy^(2), and 36^(2y3), we need to find the highest power of each variable that appears in all the terms.
For the variable x, the highest power that appears is x^(3) in the first term. Since x does not appear in the second or third term, the highest power of x that appears in all the terms is x^(0).
For the variable y, the highest power that appears is y^(4) in the first term. The second term contains y^(2), which is a lower power of y. The third term does not contain the variable y. Therefore, the highest power of y that appears in all the terms is y^(0).
For the constant term, there is no constant term in the first two terms. The third term, 36^(2y3), can be simplified but it does not include any common factors with the first two terms.
Therefore, the GCF of the given terms is 1.