Question

Find the greatest common factor y^15y^8, x^3y^3, x^8y^8

Answer 1

To find the greatest common factor of the given expressions, we need to identify the common factors in all three terms. The greatest common factor is x^3y^3.

Step-by-step explanation:

To find the greatest common factor (GCF) of the given expressions, we need to look for the common factors in all three terms. Let's breakdown each expression into its prime factorization:

• y15y8 = y23
• x3y3 = x3y3
• x8y8 = x8y8

Now, let's identify the common factors:

• The common factor for the exponents of 'y' is y3.
• The common factor for the exponents of 'x' is x3.

So, the GCF of the given expressions is x3y3.