Use properties of operations to factor 8w+16 using the GCF
A. 8(w+2)
B. 2(4w+8)
C. 4(2w+4)
D. 6(2w+10)
To factor an expression using the Greatest Common Factor (GCF), we first determine the GCF of all the terms in the expression. In the case of 8w + 16, we find the GCF of the coefficients 8 and 16. The GCF of 8 and 16 is 8 because 8 is the largest number that divides both 8 and 16 evenly.
Now we factor out the GCF from each term in the expression:
8w + 16 = 8(w) + 8(2) = 8(w + 2)
Therefore, the correct answer is:
A. 8(w + 2)