Question

Determine the GCF of 56f3 g2 and 70fg3.

Answer 1

I believe that the GCF is 14fg^2

Answer 2

Answer:  The required GCF is 14fg².

Step-by-step explanation:  We are given to determine the gcf of the following two expressions :

$E_1=56f^3g^2,\\\\E_2=70fg^3.$

We can write the given expressions in factored form as follows :

$E_1=56f^3g^2=2\times2\times2\times7\times f\times f\times f\timesg\times g,\\\\E_2=70fg^3=2\times5\times7\timesf\times g\times g\times g.$

Therefore, the GCF(greatest common factor) of the given expressions is

$GCF(E_1,E_2)=2\times7\times f\times g\times g=14fg^2.$

Thus, the required GCF is 14fg².