Question

Find the GCF of the given list. x¹¹y⁵,x³y⁵,x⁵y⁶

Answer 1

To find the GCF of the given list, we need to factor each term into its prime factors and identify the common prime factors. The GCF is the product of these common prime factors.

Step-by-step explanation:

To find the Greatest Common Factor (GCF) of a list of terms, we need to factor each term into its prime factors and then identify the common prime factors. The GCF is the product of these common prime factors.

Let's factorize each term:

x¹¹y⁵ = x * x * x * ... * x * y * y * y * y * y
x³y⁵ = x * x * x * y * y * y * y * y
x⁵y⁶ = x * x * x * x * x * y * y * y * y * y * y

The common prime factors are x and y, each appearing 3 times. So, the GCF is x³y³.