What is the greatest common factor of 22 and 55?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 22 and 55. To solve this, we will find the factors of both numbers and identify the largest factor they have in common.
Answer
The greatest common factor (GCF) of 22 and 55 is $11$.
Answer for screen readers
The greatest common factor (GCF) of 22 and 55 is $11$.
Steps to Solve
- List the factors of each number
First, we need to find the factors of both 22 and 55.
- The factors of 22 are: 1, 2, 11, 22
- The factors of 55 are: 1, 5, 11, 55
- Identify the common factors
Next, we look for the factors that both numbers share.
- The common factors of 22 and 55 are: 1, 11
- Determine the greatest common factor
Finally, we choose the largest number from the common factors identified.
- The greatest common factor (GCF) of 22 and 55 is: 11
The greatest common factor (GCF) of 22 and 55 is $11$.
More Information
The greatest common factor helps in various applications such as simplifying fractions, factoring polynomials, and finding common denominators. In this case, 11 is also a prime number, which indicates that 22 and 55 share a significant relationship in their divisibility.
Tips
- Failing to list all factors: Make sure to include all factors of each number before identifying common ones.
- Confusing common factors with the overall factors: It’s easy to overlook the greatest factor when quickly scanning through the lists.
