Answer :

Alright, let's find the greatest common factor (GCF) of 40 and 24 step-by-step.

### Step 1: List the Factors
First, list out all the factors of each number.

Factors of 40:
1, 2, 4, 5, 8, 10, 20, 40

Factors of 24:
1, 2, 3, 4, 6, 8, 12, 24

### Step 2: Find the Common Factors
Next, identify the common factors from the lists above.

Common Factors:
1, 2, 4, 8

### Step 3: Identify the Greatest Common Factor
The largest number in the list of common factors is the greatest common factor.

Greatest Common Factor:
8

Therefore, the greatest common factor of 40 and 24 is 8.