- generate a list of all factors of a given number
- given the lists of factors of two numbers, identify their GCF
- create a factor tree for a given number
- use the factor trees of two numbers to find their GCF
Objectives
Common
Factor
Greatest
go!
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GCF
HS Math
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Transcript
- generate a list of all factors of a given number
- given the lists of factors of two numbers, identify their GCF
- create a factor tree for a given number
- use the factor trees of two numbers to find their GCF
Objectives
Common
Factor
go!
Greatest
24 = 1*24 2*12 3 * 8 4 * 6
7 = 1*7
What's the difference?
Composite or Prime?
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36 = 1 * 36 2 * 18 3 * 12 4 * 9 6 * 6
List all factors of 36
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24 = 1 * 24 2 * 12 3 * 8 4 * 6
Common Factors
36 = 1 * 36 2 * 18 3 * 12 4 * 9 6 * 6
What are the common factors between 24 and 36?
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24 = 1 * 24 2 * 12 3 * 8 4 * 6
GCF
36 = 1 * 36 2 * 18 3 * 12 4 * 9 6 * 6
What is the greatest common factor for 24 and 36?
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14
Factor Tree
42
What is this?
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What do you notice about the bottom branch?
21
42
42
14
Prime Factorization
42
There's more than one way to start a factor tree.
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12
24
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100
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25
100
Highlight the factors common between the trees. THEN Multiply them to find the GCF.
12
36
Answer
24
You can use factor trees to find the GCF of 24 and 36.
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42
24
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Step 1: Choose what method you will use Either factor trees or factor lists Step 2: Organize the factors for 96 and 144. Step 3: If you used factor trees, circle the common factors on each tree, then multiply the prime factorization. If you use a factor list, circle the common factors,then identify the GREATEST!
Check Your Work
Find the GCF for 96 and 144.
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You are making sandwiches for a fundraiser. You have 720 turkey slices and 480 cheese slices. If each sandwich is to have the same amount of turkey and cheese, what is the greatest number of sandwiches that can be made?
Real World Application!
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DONE!
- generate a list of all factors of a given number
- given the lists of factors of two numbers, identify their GCF
- create a factor tree for a given number
- use the factor trees of two numbers to find their GCF