Question

Question #32c43

Answer 1

GCF = 6

Explanation:

First, list out the factors for each number (a factor is a number that goes evenly into another number).

Factors of `12:` `1, 2, 3, 4, color(red)6, 12`
Factors of `30:` `1, 2, 3, 5, color(red)6, 10, 15, 30`
Factors of `42:` `1, 2, 3, color(red)6, 7, 14, 21, 42`

12, 30, and 42 all have the factors 1, 2, 3, and 6 in common. The largest of these common factors (greatest common factor) is 6.

Hope this helps!

Answer 2

`GCF = 2xx3 =6`

Explanation:

Write each number as the product of its prime factors:

`" "12 = color(blue)(2)xx2xxcolor(red)(3)`
`" "30=color(blue)(2)" "xxcolor(red)(3)xx5`
`" "42 = ul(color(blue)(2)" "xxcolor(red)(3)" "7)`
`GCF = color(blue)(2)" "xxcolor(red)(3) =6`

Identify which factors are common `(2 and 3)`

Multiply them together to find the GCF.

`12,30 and 42` all divide by `6`