Question

find the greatest common factor (gcf). 56 and 40

Explanation:

Step1: Find factors of 56

The factors of 56 are the numbers that divide 56 without leaving a remainder. So, \(1, 2, 4, 7, 8, 14, 28, 56\) are the factors of 56.

Step2: Find factors of 40

The factors of 40 are the numbers that divide 40 without leaving a remainder. So, \(1, 2, 4, 5, 8, 10, 20, 40\) are the factors of 40.

Step3: Identify common factors

Now, we find the common factors of 56 and 40 from their respective factor lists. The common factors are \(1, 2, 4, 8\).

Step4: Determine the GCF

Among the common factors \(1, 2, 4, 8\), the greatest one is 8.

Answer:

8