To find the GCF (Greatest Common Factor) of the numerator and denominator of the fraction \( \frac{6}{15} \), we will first identify the factors of each number.
Factors of 6:
- 1, 2, 3, 6
Factors of 15:
- 1, 3, 5, 15
Next, we identify the common factors of 6 and 15:
- Common factors: 1, 3
The greatest of these common factors is 3.
Now, we simplify the fraction \( \frac{6}{15} \) by dividing both the numerator and denominator by their GCF, which is 3:
\[ \frac{6 \div 3}{15 \div 3} = \frac{2}{5} \]
So, the simplified form of \( \frac{6}{15} \) is \( \frac{2}{5} \).