Question

Question #aa899

Answer 1

The GCF is `3`.

Explanation:

The greatest common factor, or GCF, is the greatest factor that divides into two or more numbers to get a whole number.

To find the GCF of two or more numbers, write each number as the product of the prime factors. The largest prime factor that they have in common is the GCF. If there is more than one prime factor in common, multiply the factors to get the GCF. I

If there are no common factors, the GCF is `1`.

`9:color(white)(..............)color(red)3xx3`

`18:2xx2xxcolor(red)3`

`30:2color(white)(.....)xxcolor(red)3color(white)(.....)xx5`

There is only one prime factor that is common to all three numbers, which is `color(red)3`, so `color(red)3` is the GCF.

`9/color(red)3=3`

`18/color(red)3=6`

`30/color(red)3=10`