Question

(a) find the greatest common factor (gcf) of 36 and 9.
gcf =
(b) use the gcf to factor 36 + 9.
36 + 9 = × ( + )

Explanation:

Step1: List factors of 36

Factors of 36: $1, 2, 3, 4, 6, 9, 12, 18, 36$

Step2: List factors of 9

Factors of 9: $1, 3, 9$

Step3: Identify the GCF

The largest common factor is 9.

Step4: Factor out GCF from $36+9$

Divide each term by 9: $\frac{36}{9}=4$, $\frac{9}{9}=1$
Rewrite the expression: $9\times(4+1)$

Answer:

(a) $9$
(b) $9\times(4+1)$