Question
What is the greatest common factor of 12 and \( 16 ? \)
Ask by Rojas Murray. in the United States
Mar 11,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The greatest common factor of 12 and 16 is 4.
Solution
To find the greatest common factor (GCF) of 12 and 16, we can follow these steps:
1. **List the factors of each number:**
- Factors of 12: \( 1, 2, 3, 4, 6, 12 \)
- Factors of 16: \( 1, 2, 4, 8, 16 \)
2. **Identify the common factors:**
- Common factors of 12 and 16: \( 1, 2, 4 \)
3. **Determine the greatest common factor:**
- The greatest common factor is the largest number in the list of common factors, which is \( 4 \).
Thus, the greatest common factor of 12 and 16 is \( 4 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Beyond the Answer
The greatest common factor (GCF) of 12 and 16 is 4. To find it, you can list the factors of each number: the factors of 12 are 1, 2, 3, 4, 6, and 12, while the factors of 16 are 1, 2, 4, 8, and 16. The largest factor they share is 4, making it the GCF! Finding the GCF can also come in handy in everyday life, like when you're reducing fractions! If you wanted to simplify \(\frac{12}{16}\), knowing the GCF as 4 helps you divide both the numerator and denominator by 4 to get \(\frac{3}{4}\). It’s a neat little trick to make your math world much cleaner!
