What is the GCF of 14 and 4?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 14 and 4, which is the largest number that divides both 14 and 4 without leaving a remainder.
Answer
The greatest common factor of 14 and 4 is \(2\).
Answer for screen readers
The greatest common factor of 14 and 4 is (2).
Steps to Solve
- List the factors of each number
To find the GCF, we first need to list all the factors of the two numbers.
- Factors of 14: 1, 2, 7, 14
- Factors of 4: 1, 2, 4
- Identify the common factors
Next, we identify the factors that are common to both lists.
- Common factors of 14 and 4: 1, 2
- Determine the greatest common factor
Finally, we select the largest number from the common factors list.
- Greatest common factor: 2
The greatest common factor of 14 and 4 is (2).
More Information
The GCF is useful for simplifying fractions and finding common denominators. It's the largest number that can evenly divide both numbers without any remainder.
Tips
Common mistakes include:
- Failing to list all factors for each number.
- Selecting a smaller common factor instead of the largest one.
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