What is the GCF of 10 and 16?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 10 and 16. To find the GCF, we identify the factors of both numbers and determine the largest factor that is common to both.
Answer
The greatest common factor (GCF) of 10 and 16 is $2$.
Answer for screen readers
The greatest common factor (GCF) of 10 and 16 is $2$.
Steps to Solve
- Identify the factors of 10
The factors of 10 are the numbers that can multiply together to make 10. They are: 1, 2, 5, 10.
- Identify the factors of 16
The factors of 16 are the numbers that can multiply together to make 16. They are: 1, 2, 4, 8, 16.
- List the common factors
Now we need to find the factors that both numbers share. The common factors of 10 and 16 are: 1, 2.
- Determine the greatest common factor
Among the common factors, we identify the greatest one. Here, the greatest common factor is: 2.
The greatest common factor (GCF) of 10 and 16 is $2$.
More Information
The greatest common factor is useful for simplifying fractions and finding the least common multiple. Understanding how to find the GCF helps in various mathematical problem-solving situations.
Tips
- A common mistake is to confuse the GCF with the LCM (Least Common Multiple). Remember, GCF is the largest factor common to both numbers, while LCM is the smallest multiple common to both.
- Another mistake involves incorrectly listing the factors or overlooking a common factor.
