Find the GCF of 40a + 16

Question

.(1 point)
Responses

8
8

4
4

2
2

16

Answer 1

To find the greatest common factor (GCF) of the expression \( 40a + 16 \), we first need to identify the coefficients and constants in the terms.

The coefficients are:

• For \( 40a \), the coefficient is \( 40 \).
• For \( 16 \), the constant is \( 16 \).

Now, we can find the GCF of the two numbers \( 40 \) and \( 16 \).

1. Factor the numbers:

   • The factors of \( 40 \) are \( 1, 2, 4, 5, 8, 10, 20, 40 \).
   • The factors of \( 16 \) are \( 1, 2, 4, 8, 16 \).

2. Identify the common factors:

   • Common factors are \( 1, 2, 4, 8 \).

3. Determine the greatest common factor:

   • The greatest common factor among these is \( 8 \).

Therefore, the GCF of \( 40a + 16 \) is \( \boxed{8} \).