Answer:
The greatest common factor of 10y and 8y^2 is 2y.
Explanation:
To find the greatest common factor (GCF) of 10y and 8y^2, you need to identify the highest power of y that is a factor in both terms.
First, let's break down each term into its prime factors:
10y = 2 * 5 * y
8y^2 = 2^3 * y^2
Now, look for the common factors between the two expressions:
Both terms have a factor of 2.
Both terms have a factor of y.
To find the GCF, take the lowest power of each common factor:
GCF = 2^1 * y^1
So, the greatest common factor of 10y and 8y^2 is 2y.