Questions: The GCF of 28 and 16 is Which expression uses the GCF and is equivalent to 28+16 ?

Solution Steps

To find the greatest common factor (GCF) of two numbers, we need to identify the largest number that divides both numbers without leaving a remainder. Once we have the GCF, we can express the sum of the two numbers as a product of the GCF and another expression.

To find the greatest common factor of 28 and 16, we identify the largest integer that divides both numbers without leaving a remainder. The GCF of 28 and 16 is 4.

We can express the sum \(28 + 16\) using the GCF. First, divide each number by the GCF:

• \(\frac{28}{4} = 7\)
• \(\frac{16}{4} = 4\)

Thus, the expression \(28 + 16\) can be rewritten as: \[ 4 \times (7 + 4) \]

Final Answer