What is the Greatest Common Factor (GCF) for Grade 6?

📚 Quick Study Guide

• 🔢 Definition: The Greatest Common Factor (GCF) is the largest number that divides evenly into two or more numbers.
• ➗ Finding the GCF: List the factors of each number.
• ✨ Identify Common Factors: Find the factors that are common to both numbers.
• 🏆 Select the Greatest: The largest of these common factors is the GCF.
• 📝 Example: Find the GCF of 12 and 18.
  • Factors of 12: 1, 2, 3, 4, 6, 12
  • Factors of 18: 1, 2, 3, 6, 9, 18
  • Common Factors: 1, 2, 3, 6
  • GCF: 6
• ➕ Prime Factorization Method: Express each number as a product of its prime factors, then identify common prime factors and multiply them.

Practice Quiz

1. What is the GCF of 8 and 12?
   1. 2
   2. 4
   3. 6
   4. 8
2. What is the GCF of 15 and 25?
   1. 3
   2. 5
   3. 10
   4. 15
3. What is the GCF of 24 and 36?
   1. 6
   2. 8
   3. 12
   4. 18
4. What is the GCF of 9 and 27?
   1. 3
   2. 6
   3. 9
   4. 12
5. What is the GCF of 16 and 24?
   1. 4
   2. 6
   3. 8
   4. 12
6. What is the GCF of 21 and 28?
   1. 3
   2. 7
   3. 14
   4. 21
7. What is the GCF of 30 and 45?
   1. 5
   2. 10
   3. 15
   4. 30