Question

Determine the GCF of 56f3g2 and 70fg3.

7fg^2

7f^3g^3

14fg^2

14f^3g^3

Answer 1

Option C)
`\text{GCF} = 14fg^2`

Explanation:

We are given the following:

`56f^3g^2 \text{ and }70fg^3`

We have to find the greatest common factor of the two expressions.

We will use the technique of prime factorization to do so:

`56f^3g^2\\\\=2* 2* 2* 7* f* f* f* g* g\\\\70fg^3\\\\=2* 5* 7* f* g* g* g`

The common factors of both expressions are:

`\text{Common factors} = 2* 7* f* g* g`

Thus, the greatest common factor is:

`\text{GCF} = 14fg^2`

Option C) is the correct option.