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# GCF - Greatest Common Factor

GCF - Greatest Common Factor. The GCF of two numbers is the greatest number that divides into both numbers evenly. Ex: The GCF of 14 &amp; 35 is 7, since 7 is the greatest number that goes into both 14 &amp; 35 evenly. HOW TO FIND THE GCF.

## GCF - Greatest Common Factor

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### Presentation Transcript

1. GCF - Greatest Common Factor The GCF of two numbers is the greatest number that divides into both numbers evenly. Ex: The GCF of 14 & 35 is 7, since 7 is the greatest number that goes into both 14 & 35 evenly

2. HOW TO FIND THE GCF The key to determining the GCF is to identify Common Factors in Both Numbers and Multiplying them together.

3. COMMON FACTORS OF 225 & 30 225 30 5 45 3 10 5 9 3 • 5 • 2 5 • 5 • 3 • 3 THE COMMON FACTORS ARE 5 & 3

4. Finding Greatest Common Factor Find GCF of 225 & 30

5. Finding Greatest Common Factor Find GCF of 225 & 30 225 Complete Factor Tree for both numbers. 30 5 45 3 10 5 9 3 • 5 • 2 5 • 5 • 3 • 3

6. Finding Greatest Common Factor Find GCF of 225 & 30 225 Complete Factor Tree for both numbers. Identify Common Factors. 30 5 45 3 10 5 9 3 • 5 • 2 5 • 5 • 3 • 3 THE COMMON FACTORS ARE 5 & 3

7. Finding Greatest Common Factor Find GCF of 225 & 30 225 Complete Factor Tree for both numbers. Identify Common Factors. Multiply Common Factors for GCF 30 5 45 3 10 5 9 3 • 5 • 2 5 • 5 • 3 • 3 THE COMMON FACTORS ARE 5 & 3 GCF = 5 • 3 = 15

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