To solve the problem of finding the Greatest Common Factor (GCF) for each number pair, we need to determine the largest number that divides both numbers in each pair without leaving a remainder. Let's go through each pair step by step.
Pair 1: \(6, 12\)
- Factors of 6: \(1, 2, 3, 6\)
- Factors of 12: \(1, 2, 3, 4, 6, 12\)
- Common factors: \(1, 2, 3, 6\)
- Greatest Common Factor: \(6\)
Pair 2: \(8, 12\)
- Factors of 8: \(1, 2, 4, 8\)
- Factors of 12: \(1, 2, 3, 4, 6, 12\)
- Common factors: \(1, 2, 4\)
- Greatest Common Factor: \(4\)
Pair 3: \(24, 3\)
- Factors of 24: \(1, 2, 3, 4, 6, 8, 12, 24\)
- Factors of 3: \(1, 3\)
- Common factors: \(1, 3\)
- Greatest Common Factor: \(3\)
Pair 4: \(24, 3\) (repeated)
- Same as Pair 3.
- Greatest Common Factor: \(3\)
Pair 5: \(6, 4\)
- Factors of 6: \(1, 2, 3, 6\)
- Factors of 4: \(1, 2, 4\)
- Common factors: \(1, 2\)
- Greatest Common Factor: \(2\)
Pair 6: \(8, 2\)
- Factors of 8: \(1, 2, 4, 8\)
- Factors of 2: \(1, 2\)
- Common factors: \(1, 2\)
- Greatest Common Factor: \(2\)
Pair 7: \(8, 24\)
- Factors of 8: \(1, 2, 4, 8\)
- Factors of 24: \(1, 2, 3, 4, 6, 8, 12, 24\)
- Common factors: \(1, 2, 4, 8\)
- Greatest Common Factor: \(8\)
Pair 8: \(6, 4\) (repeated)
- Same as Pair 5.
- Greatest Common Factor: \(2\)
Pair 9: \(24, 2\)
- Factors of 24: \(1, 2, 3, 4, 6, 8, 12, 24\)
- Factors of 2: \(1, 2\)
- Common factors: \(1, 2\)
- Greatest Common Factor: \(2\)
Pair 10: \(4, 24\)
- Factors of 4: \(1, 2, 4\)
- Factors of 24: \(1, 2, 3, 4, 6, 8, 12, 24\)
- Common factors: \(1, 2, 4\)
- Greatest Common Factor: \(4\)
Final Answers:
\[
\begin{aligned}
&6, 12 & \text{GCF: } 6 \\
&8, 12 & \text{GCF: } 4 \\
&24, 3 & \text{GCF: } 3 \\
&24, 3 & \text{GCF: } 3 \\
&6, 4 & \text{GCF: } 2 \\
&8, 2 & \text{GCF: } 2 \\
&8, 24 & \text{GCF: } 8 \\
&6, 4 & \text{GCF: } 2 \\
&24, 2 & \text{GCF: } 2 \\
&4, 24 & \text{GCF: } 4 \\
\end{aligned}
\]
\boxed{6, 4, 3, 3, 2, 2, 8, 2, 2, 4}
Parent Tip: Review the logic above to help your child master the concept of common factors worksheet.
