Use properties of operations to factor 16x+28y+32z using the GCF.
A. 4(4x+7y+8z)
B. 6(10x+22y+26z)
C. 8(2x+3y+4z)
D. 2(8x+14y+16z)
To factor the expression 16x + 28y + 32z using the greatest common factor (GCF), we need to find the largest number that evenly divides each of the coefficients of the terms.
The coefficients are 16 for x, 28 for y, and 32 for z. The GCF of these numbers is:
GCF(16, 28, 32) = 4.
Now we divide each term by the GCF to find the factors:
16x / 4 = 4x,
28y / 4 = 7y,
32z / 4 = 8z.
So, the factored expression is:
4(4x + 7y + 8z).
The correct answer is A. 4(4x + 7y + 8z).