What is the greatest common factor of 14 and 22?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 14 and 22. We will find the factors of both numbers and identify the highest one that is common to both.
Answer
The GCF of 14 and 22 is $2$.
Answer for screen readers
The greatest common factor (GCF) of 14 and 22 is $2$.
Steps to Solve
- Find the Factors of 14
We start by listing all the factors of 14. The factors are the numbers that divide 14 evenly.
Factors of 14: 1, 2, 7, 14
- Find the Factors of 22
Next, we will list all the factors of 22.
Factors of 22: 1, 2, 11, 22
- Identify Common Factors
Now, we'll identify the factors that are common to both sets of factors we found earlier.
Common factors of 14 and 22: 1, 2
- Determine the Greatest Common Factor (GCF)
Lastly, we will select the highest number from our common factors.
The GCF of 14 and 22 is: 2
The greatest common factor (GCF) of 14 and 22 is $2$.
More Information
The GCF is important in simplifying fractions and finding common denominators. In this case, both 14 and 22 can be divided evenly by 2, making it a crucial number for any calculations that require simplification.
Tips
- Forgetting to list all factors: Ensure that you check each possible factor for both numbers.
- Confusing the GCF with the least common multiple (LCM): Remember that GCF finds the highest common factor, while LCM finds the lowest common multiple.
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