Gcf and distributive property 24+30

Given

24+30

Find

a rewrite of the expression in which the greatest common factor is factored out and the distributive property is used

Solution

First, you must find the greatest common factor of 24 and 30. Your knowledge of multiplication tables tells you ...

... 24 = 6·4

... 30 = 6·5

The numbers 4 and 5 have no factors in common, so 6 is the greatest common factor of the numbers 24 and 30.

When we factor 6 from the numbers the sum can be written ...

... 24 + 30 = 6 (4 + 5)