What is the greatest common factor of 15 and 16?
Understand the Problem
The question is asking to find the greatest common factor (GCF) of the numbers 15 and 16. The GCF is the largest number that can evenly divide both numbers. In this case, since 15 and 16 are consecutive integers, they do not share any common factors other than 1.
Answer
1
Answer for screen readers
The greatest common factor (GCF) of 15 and 16 is 1.
Steps to Solve
- Identify the factors of each number
List the factors of 15:
- 1, 3, 5, 15
List the factors of 16:
- 1, 2, 4, 8, 16
- Compare the factors
Look for the common factors between the two lists:
- The factors of 15 are 1, 3, 5, 15
- The factors of 16 are 1, 2, 4, 8, 16
- Find the greatest common factor (GCF)
The only common factor in both lists is:
- 1
Therefore, the GCF of 15 and 16 is 1.
The greatest common factor (GCF) of 15 and 16 is 1.
More Information
The GCF is often used in simplifying fractions and finding common denominators. Since 15 and 16 are consecutive integers, their only common factor is indeed 1.
Tips
- A common mistake is overlooking the concept of consecutive integers and assuming they have a GCF larger than 1. Remember that consecutive integers have no common factors other than 1.
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