What is the GCF of 22 and 55?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 22 and 55, which is the largest positive integer that divides both numbers without leaving a remainder.
Answer
The 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 compare the factors of both numbers to find the common ones.
- Common factors of 22 and 55 are: 1, 11
- Select the greatest common factor
Finally, we determine the greatest among the common factors we found.
- The greatest common factor is 11.
The greatest common factor (GCF) of 22 and 55 is $11$.
More Information
The greatest common factor (GCF) is useful in simplifying fractions and solving problems involving ratios. The fact that both numbers share the factor of 11 shows that they are not entirely unrelated, and understanding GCF can help in various mathematical applications.
Tips
- A common mistake is to mistakenly use the smaller number (in this case, 22) as the GCF without considering common factors.
- Make sure to list all factors thoroughly before identifying the common ones.
