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Greatest Common Factor

     Rachel Callahan
Greatest Common Factor (GCF)
The greatest common factor (GCF) of two
 numbers is the greatest number that is a
 factor of both.
Find the greatest common factor of
            12 and 18.
Step 1: List the factors of 12 and 18. Think
  of all the numbers that can be divided into
  12 and 18 evenly.
12: 1, 2, 3, 4, 6, 12
18: 1, 2, 3, 6, 9, 18
Step 2: What are the common factors?
1, 2, 3, and 6
Step 3: Find the GCF. 6
Find the GCF of each pair of numbers.

      9                     27
Find the GCF of each pair of numbers.

     25                      40
Find the GCF of each pair of numbers.

      7                     36
Find the GCF of each pair of numbers.

     40                      48
Find the GCF of each pair of numbers.

     16                      28
Find the GCF of each pair of numbers.

     24                      42
Find the GCF of each pair of numbers.

     21                      35
Find the GCF of each pair of numbers.

     30                      70
Find the GCF of each pair of numbers.

Can the GCF of 18 and 36 be greater than
              18? Explain.

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Greatest Common Factor

  • 1. Greatest Common Factor Rachel Callahan
  • 2. Greatest Common Factor (GCF) The greatest common factor (GCF) of two numbers is the greatest number that is a factor of both.
  • 3. Find the greatest common factor of 12 and 18. Step 1: List the factors of 12 and 18. Think of all the numbers that can be divided into 12 and 18 evenly. 12: 1, 2, 3, 4, 6, 12 18: 1, 2, 3, 6, 9, 18 Step 2: What are the common factors? 1, 2, 3, and 6 Step 3: Find the GCF. 6
  • 4. Find the GCF of each pair of numbers. 9 27
  • 5. Find the GCF of each pair of numbers. 25 40
  • 6. Find the GCF of each pair of numbers. 7 36
  • 7. Find the GCF of each pair of numbers. 40 48
  • 8. Find the GCF of each pair of numbers. 16 28
  • 9. Find the GCF of each pair of numbers. 24 42
  • 10. Find the GCF of each pair of numbers. 21 35
  • 11. Find the GCF of each pair of numbers. 30 70
  • 12. Find the GCF of each pair of numbers. Can the GCF of 18 and 36 be greater than 18? Explain.