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932840276498713209129318947
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GREATESTGREATEST
COMMON COMMON
FACTORFACTOR
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The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common.
METHOD 1 List all the factors of each number
Find the largest common factor
METHOD 2 Divide both numbers by the same
factors – multiply all these factors
There are two different methods for finding There are two different methods for finding the GCF of a set of numbers.the GCF of a set of numbers.
Let’s take a look at both ways!!!!!
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The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common.
Find the GCF of 12 and 18
METHOD 1 List all the factors of each number
Find the largest common factor
Factors of 12 = 1 , 2, 3, 4, 6, 12
Factors of 18 = 1, 2, 3, 6, 9, 18
Circle the greatest factor they have in common
The Greatest Common Factor GCF is 6
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The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common.
Find the GCF of 12 and 18
METHOD 2 Divide both numbers by the same
factors – multiply all these factors
The Greatest Common Factor GCF is 6
12 182
6 93
2 3
2 x 3 = 6
6 x 2 =12 6 x 3 = 18 CHECK:
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Find the Greatest Common Factor GCF of 24 and 36
METHOD 1
ALL FACTORS
METHOD 2
DIVISION
24 = 1, 2, 3, 4, 6, 8, 12, 24
36 = 1, 2, 3, 4, 6, 9, 12, 18, 36
Circle greatest common factor
GCF = 12
24 364
6 93
2 3
Multiply common factors
GCF = 4 x 3 = 1212 x 2 = 24
12 x 3 = 36
Check
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The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common.
Find the GCF of 90 and 120
METHOD 2 Repeated Division
The Greatest Common Factor GCF is 30
90 12010
9 123
3 4
10 x 3 = 30
30 x 3 = 90 30 x 4 = 120
CHECK:
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The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common.
Find the GCF of 14 and 20
METHOD 2 Repeated Division
The Greatest Common Factor GCF is 2
14 202
7 102
2 x 7 =14 2 x 10 = 20 CHECK:
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The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common.
Find the GCF of 32 and 80
METHOD 2 Repeated Division
The Greatest Common Factor GCF is 16
32 802
16 404
4 10
2 x 4 x 2 = 16
16 x 2 =32 16 x 5 = 80
2 5
2
CHECK:
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The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common.
Find the GCF of 77 and 15
METHOD 2 Repeated Division
The Greatest Common Factor GCF is 1
77 151
77 151
1 x 77 = 77 1 x 15 = 15 CHECK:
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The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common.
Find the GCF of 36, 48, and 30
METHOD 2 Repeated Division
The Greatest Common Factor GCF is 6
36 48 3022
18 24 1533
6 8 5
2 x 3 = 62 x 3 = 6
6 x 6 =36 6 x 8 = 48 6 x 5 =30
CHECK:
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**ASSIGNMENT**
• Page 236 (#8-17, 37-38)Page 236 (#8-17, 37-38)
Do Your Best!