(a) Find the greatest common factor (GCF) of 28 and 12 . GCF $$ =\square $$ (b) Use the GCF to factor $$ 28+12 $$. $$ 28+12=\square imes(\square+\square) $$

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(a) Find the greatest common factor (GCF) of 28 and 12 . GCF $$ =\square $$ (b) Use the GCF to factor $$ 28+12 $$. $$ 28+12=\square 	imes(\square+\square) $$

UpStudy AI · Accepted Answer

1. Find the GCF of $$28$$ and $$12$$.

- The factors of $$28$$ are: $$1, 2, 4, 7, 14, 28$$.
   - The factors of $$12$$ are: $$1, 2, 3, 4, 6, 12$$.
   - The common factors are: $$1, 2, 4$$.
   - Thus, the greatest common factor is $$4$$.

$$
   \text{GCF} = 4
   $$

2. Use the GCF to factor $$28 + 12$$.

- Write the sum as $$28 + 12 = 4 \times 7 + 4 \times 3$$.
   - Factor out the common factor $$4$$:

$$
   28 + 12 = 4 \times (7 + 3)
   $$

So, the factored form is:

$$
   28 + 12 = 4\times(7+3)
   $$
GCF of 28 and 12 is 4. 28 + 12 = 4 × (7 + 3)

(a) Find the greatest common factor (GCF) of 28 and 12 . GCF \( =\square \) (b) Use the GCF to factor \( 28+12 \). \( 28+12=\square \times(\square+\square) \)

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