Question

Complete the following.Х(a) Find the greatest common factor (GCF) of 45 and 27.5GCF = ]-(b) Use the GCF to factor 45-27.45 – 27 = N * (-1)X

Answer 1

Step 1

Find the GCF of 30 and 54

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

`\begin{gathered} \text{Factors of 30=}1,2,3,5,6,10,15and30. \\ \text{Factors of 54=}1,2,3,6,9,18,27and54. \end{gathered}`

The Greatest common factor of 30 and 54 is 6.

Step 2

Use the GCF to factor 30+54

`\begin{gathered} 6((30)/(6)+(54)/(6)) \\ 6(5\text{ + 9}) \end{gathered}`

Answer;

`6(5+9)`