Answer: The required greatest common factor of the given expressions is [tex]6wy^2.[/tex]
Step-by-step explanation: We are given to find the greatest common factor of the following two expressions :
[tex]E_1=60w^5y^3,\\\\E_2=78wy^2.[/tex]
The factorization of the given expressions can be written as :
[tex]E_1=2^2\times3\times5\times w^5\times y^3,\\\\E_2=2\times3\times13\times w\times y^2.[/tex]
Therefore, the greatest common factor of the given expressions is
[tex]GCD(E_1,E_2)=2\times3\times w\times y^2=6wy^2.[/tex]
Thus, the required greatest common factor of the given expressions is [tex]6wy^2.[/tex]
