What is the greatest common factor of 49 and 14?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 49 and 14. To solve this, we will identify the factors of both numbers and find the largest factor they share.
Answer
The GCF of 49 and 14 is $7$.
Answer for screen readers
The greatest common factor (GCF) of 49 and 14 is $7$.
Steps to Solve
- List the factors of each number
First, we need to determine the factors of 49 and 14.
- The factors of 49 are: 1, 7, 49
- The factors of 14 are: 1, 2, 7, 14
- Identify the common factors
Now, we will look for factors that are present in both lists.
- Common factors of 49 and 14 are: 1, 7
- Find the greatest common factor
Next, we will select the largest factor from the common factors identified.
- The greatest common factor (GCF) is 7.
The greatest common factor (GCF) of 49 and 14 is $7$.
More Information
The greatest common factor is the largest number that divides both numbers without leaving a remainder. In this case, both 49 and 14 share the factor 7. This concept is useful in simplifying fractions or finding common denominators.
Tips
- A common mistake is to overlook the complete list of factors and miss a shared factor.
- Ensure that all factors of both numbers are listed to find the correct GCF.
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