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vagabundo [1.1K]
2 years ago
6

Determine the GCF of 56f3g2 and 70fg3.

Mathematics
1 answer:
Natali5045456 [20]2 years ago
7 0

Answer:

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

Step-by-step 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\times 2\times 2\times 7\times f\times f\times f\times g\times g\\\\70fg^3\\\\=2\times 5\times 7\times f\times g\times g\times g

The common factors of both expressions are:

\text{Common factors} = 2\times 7\times f\times g\times g

Thus, the greatest common factor is:

\text{GCF} = 14fg^2

Option C) is the correct option.

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