What is the GCF of 56 and 14?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 56 and 14, which involves finding the largest number that divides both of them without leaving a remainder.
Answer
The greatest common factor of 56 and 14 is 14.
Answer for screen readers
The greatest common factor (GCF) of 56 and 14 is 14.
Steps to Solve
- List the factors of each number First, we need to find the factors of the two numbers, 56 and 14.
- Factors of 56: 1, 2, 4, 7, 8, 14, 28, 56
- Factors of 14: 1, 2, 7, 14
- Identify the common factors Next, we look for the factors that both numbers share.
- Common factors of 56 and 14: 1, 2, 7, 14
- Select the greatest common factor The greatest common factor is the largest number from the common factors we've identified.
- The largest common factor is 14.
The greatest common factor (GCF) of 56 and 14 is 14.
More Information
The GCF is useful in simplifying fractions and is a fundamental concept in number theory. Recognizing common factors can also help in various mathematical applications, such as finding least common multiples.
Tips
- One common mistake is to forget to list all the factors or to miss some factors.
- Another mistake can be selecting a common factor that is not the largest.
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