What is the GCF of 12 and 13?
Understand the Problem
The question asks for the greatest common factor (GCF) of the numbers 12 and 13. We will determine the highest integer that divides both numbers without leaving a remainder.
Answer
The GCF of 12 and 13 is 1.
Answer for screen readers
The greatest common factor (GCF) of 12 and 13 is 1.
Steps to Solve
- List the factors of each number
To find the GCF, we first need to identify the factors of both numbers.
Factors of 12: 1, 2, 3, 4, 6, 12
Factors of 13: 1, 13
- Identify the common factors
Next, we look for factors that are common to both lists.
The only common factor of 12 and 13 is 1.
- Determine the greatest common factor
Now we identify the greatest common factor from the common factors we found.
Since the only common factor is 1, the GCF is 1.
The greatest common factor (GCF) of 12 and 13 is 1.
More Information
The GCF is useful when simplifying fractions or solving problems that involve finding shared factors. In this case, since 12 and 13 are consecutive integers, they have no other common factors other than 1.
Tips
- A common mistake is assuming that two consecutive numbers have a GCF greater than 1. Remember, consecutive integers have a GCF of 1.
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