What is the greatest common factor of 10 and 16?
Understand the Problem
The question is asking us to find the greatest common factor (GCF) of the numbers 10 and 16. To do this, we will identify the factors of both numbers and determine which is the largest factor they have in common.
Answer
$2$
Answer for screen readers
The greatest common factor (GCF) of 10 and 16 is $2$.
Steps to Solve
- List the factors of each number
Start by finding the factors of 10 and 16.
- The factors of 10 are: 1, 2, 5, 10.
- The factors of 16 are: 1, 2, 4, 8, 16.
- Identify common factors
Next, look for factors that both numbers have in common.
- The common factors of 10 and 16 are: 1, 2.
- Determine the greatest common factor
Lastly, from the common factors identified, select the largest one.
- The greatest common factor (GCF) is: 2.
The greatest common factor (GCF) of 10 and 16 is $2$.
More Information
The greatest common factor is the largest positive integer that divides both numbers without leaving a remainder. In this case, 2 is the highest number that evenly divides both 10 and 16.
Tips
- Ignoring to list all factors: Sometimes, not listing all the factors can lead to missing common factors. Always ensure to correctly list all factors before identifying common ones.
- Confusing factors and multiples: Factors are numbers that divide evenly into another number (like 2 for 10), whereas multiples are what you get when you multiply a number (like 2, 4, 6...).
Thank you for voting!
