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*2*2*7* f* f* f*g* g,\\\\E_2=70fg^3=2*5*7*f* g* g* g.`

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

`GCF(E_1,E_2)=2*7* f* g* g=14fg^2.`

Thus, the required GCF is 14fg².