GCF of 10 and 15
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 10 and 15. To find the GCF, we will look for the largest number that evenly divides both 10 and 15.
Answer
5
Answer for screen readers
The final answer is 5
Steps to Solve
- List the factors of each number
We list out all the factors of the numbers 10 and 15:
- Factors of 10: 1, 2, 5, 10
- Factors of 15: 1, 3, 5, 15
- Identify the common factors
We look for the numbers that appear in both lists of factors:
- Common factors: 1, 5
- Choose the greatest common factor
The largest number in the list of common factors is the greatest common factor (GCF):
$$ \text{GCF} = 5 $$
The final answer is 5
More Information
The greatest common factor (GCF) is the largest number that divides two or more numbers without leaving a remainder.
Tips
A common mistake is to only list the prime factors rather than all factors, or to overlook one or more common factors.
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