To find the greatest common factor (GCF) of 80 and 48, you can use a factor tree for each number to break them down into their prime factors. Then, identify the common prime factors.
Let's start with 80:
1. 80 = 2 * 40
2. 40 = 2 * 20
3. 20 = 2 * 10
4. 10 = 2 * 5
So, the prime factorization of 80 is 2 * 2 * 2 * 2 * 5.
Now, let's do the same for 48:
1. 48 = 2 * 24
2. 24 = 2 * 12
3. 12 = 2 * 6
4. 6 = 2 * 3
So, the prime factorization of 48 is 2 * 2 * 2 * 2 * 3.
Now, let's find the common prime factors between the two factorizations:
The common prime factors are 2 * 2 * 2 = 8.
So, the greatest common factor (GCF) of 80 and 48 is 8.