What is the GCF of 8 and 15?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 8 and 15. To solve this, we need to determine the factors of both numbers and identify the largest factor that they share.
Answer
The GCF is $1$.
Answer for screen readers
The greatest common factor (GCF) of 8 and 15 is 1.
Steps to Solve
- List the factors of each number
First, we need to find the factors of the numbers 8 and 15.
- The factors of 8 are: 1, 2, 4, 8.
- The factors of 15 are: 1, 3, 5, 15.
- Identify the common factors
Now we need to identify the factors that both numbers share.
- The common factors of 8 and 15 are: 1.
- Determine the greatest common factor
Since the only common factor is 1, we can conclude that it is the greatest common factor.
Thus, the GCF of 8 and 15 is:
$$ \text{GCF} = 1 $$
The greatest common factor (GCF) of 8 and 15 is 1.
More Information
The greatest common factor (GCF) is the largest positive integer that divides each of the given integers without leaving a remainder. In this case, since 8 and 15 have no other common factors, the GCF is simply 1. It is interesting to note that when two numbers are coprime (meaning they have no common factors other than 1), their GCF is always 1.
Tips
- Forgetting to list all factors: A common mistake is to overlook some factors, which may lead to missing the correct GCF. Always list all factors carefully.
- Assuming GCF is greater than 1: Another mistake is to assume that the GCF must always be greater than 1. In cases like this, where the numbers are coprime, it is important to recognize that the GCF can be 1.
