Question

How do you find the greatest common factor of the following monomials: 4c, 18c?

Answer 1

See a solution process below:

Explanation:

Find the prime factors for each number as:

`4c = 2 xx 2 xx c`

`18c = 2 xx 3 xx 3 xx c`

Now identify the common factors and determine the GCF:

`4c = color(red)(2) xx 2 xx color(red)(c)`

`18c = color(red)(2) xx 3 xx 3 xx color(red)(c)`

Therefore:

`"GCF" = color(red)(2) xx color(red)(c)` = 2c#