We want to find the greatest common factor (GCF) of the terms in the given expression.
3w+ 66
Let's start by finding the GCF of 3 and 66 by listing all possible factors of both numbers.
Factors of3:& 1, and 3
Factors of66:& 1, 2, 3,6,11,22,33, and 66
We can see that the highest value of the common factors is 3. Therefore, the GCF of the expression is 3. Now we can write the given expression in terms of the GCF.
3w+66 ⇔ 3* w+ 3* 22
Finally, we will factor out the GCF.
3* w+ 3* 22 ⇔ 3(w+22)
Checking Our Answer
Check your answer âś“
To check our answer, we can apply the Distributive Property and compare the result with the given expression.