To find the Greatest Common Factor (GCF) of the numbers 80 and 36, we follow these steps:
### Step 1: List the Factors
First, identify all the factors of each number.
- Factors of 80:
The factors of 80 are all the numbers that evenly divide into 80.
[tex]\[
1, 2, 4, 5, 8, 10, 16, 20, 40, 80
\][/tex]
- Factors of 36:
The factors of 36 are all the numbers that evenly divide into 36.
[tex]\[
1, 2, 3, 4, 6, 9, 12, 18, 36
\][/tex]
### Step 2: Identify the Common Factors
Now, identify the common factors from the lists of factors above.
[tex]\[
\text{Common factors of 80 and 36: } 1, 2, 4
\][/tex]
### Step 3: Determine the Greatest Common Factor
From the common factors, the greatest value is the GCF.
Therefore, the GCF of 80 and 36 is:
[tex]\[
\boxed{4}
\][/tex]
