Name: Date: Math 6- Greatest Common Factor (GCF) …
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Date:_______________
Math 6- Greatest Common Factor (GCF) Notes
TERM Factor
DEFINITION
EXAMPLE
Greatest Common Factor (GCF)
Find the GCF... Method 1 ? List the factors of each number
Factors of 14: ___ ___ ___ ___ Factors of 28: ___ ___ ___ ___ ___ ___
Circle the common factors.
What is the greatest common factor?
Try It!
Find the GCF of the following numbers by listing the factors of each.
1. 14: 20:
2. 16: 42:
3. 8: 18:
4. 24: 36:
5. 45: 30:
Find the GCF...
Method 2 ? Use Prime Factorization (factor trees)
Step 1: Create a factor tree for each number
Prime Factors of 14:
Prime Factors of 28:
____ ____ ____
____ ____ ____
Step 2: List the factors for each number.
____ ____ ____
14: 2 7 28: 2 2 7
Step 3: Circle the common factors and identify the factor that is shared
14: 2 7 28: 2 2 7
Multiply the common the factors. ____ x ____ = ____
Try It!
Find the GCF of the following numbers using prime factorization.
1)
18
30
2)
60
45
18: 30: Multiply:
GCF: _____
60: 45: Multiply:
GCF: ______
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