Find the GCF of 40a+16

Question

A. 4
B. 2
C. 8
D. 16

Answer 1

To find the greatest common factor (GCF) of the expression \(40a + 16\), we will first factor out the GCF of the numerical coefficients in the expression.

1. The numerical coefficients are 40 and 16.
2. The factors of 40 are: \(1, 2, 4, 5, 8, 10, 20, 40\).
3. The factors of 16 are: \(1, 2, 4, 8, 16\).

Now, we identify the common factors:

• The common factors of 40 and 16 are \(1, 2, 4, 8\).
• The greatest of these common factors is \(8\).

Next, we will factor out the GCF from the expression \(40a + 16\): \[ 40a + 16 = 8(5a + 2) \]

Thus, the GCF of the expression \(40a + 16\) is \(8\).

So the correct answer is:

C. 8.