Question

What is the greatest common factor of 19x^7 and 3x^5?

A. x5
B. x7
C. 3x5
D. 3x7

Answer 1

A.
`x^5`

Explanation:

We are asked to find the greatest common factor of
`19x^7` and
`3x^5`.

Factors of
`19x^7`:
`19\cdot x^5* x^2`

Factors of
`3x^5`:
`3\cdot x^5`

We can see that both terms share a common factor that is
`x^5`, therefore, the greatest common factor of both terms is
`x^5`.

Answer 2

The answer is A. x^5

To get the GCF of the two values, it is best to get the invidivual GCFs from the numbers and variables.

19 and 3 do not have a GCF. So, the next GCF to get is between x^7 and x^5. The GCF for both is x^ 5.

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