Question

How do you find the GCF of `14n, 42n^3`?

Answer 1

See a solution process below:

Explanation:

Find the prime factors for each term as:

`14n = 2 xx 7 xx n`

`42n^3 = 2 xx 3 xx 7 xx n xx n xx n`

Now identify the common factors and determine the GCF:

`14n = color(red)(2) xx color(red)(7) xx color(red)(n)`

`36 = color(red)(2) xx 3 xx color(red)(7) xx color(red)(n) xx n xx n`

Therefore:

`"GCF" = color(red)(2) xx color(red)(7) xx color(red)(n) = 14n`