Question

The greatest common factor of 60w^5 y^3 and 78wy^2 is _____.

2wy^2
6wy^2
6w^5y^3
13w^5y^3

will mark best answer!

Answer 1

Your answer is B because 6w^5y^3 is the common factor for both

Answer 2

Answer: The required greatest common factor of the given expressions is
`6wy^2.`

Step-by-step explanation: We are given to find the greatest common factor of the following two expressions :

`E_1=60w^5y^3,\\\\E_2=78wy^2.`

The factorization of the given expressions can be written as :

`E_1=2^2*3*5* w^5* y^3,\\\\E_2=2*3*13* w* y^2.`

Therefore, the greatest common factor of the given expressions is

`GCD(E_1,E_2)=2*3* w* y^2=6wy^2.`

Thus, the required greatest common factor of the given expressions is
`6wy^2.`