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# 932840276498713209129318947 - PowerPoint PPT Presentation

48209830958569408909284234. GREATEST COMMON FACTOR. 932840276498713209129318947. The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common. There are two different methods for finding the GCF of a set of numbers.

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GREATEST

COMMON

FACTOR

932840276498713209129318947

The Greatest Common Factor GCF of two or more numbers is the largest factor they have in common.

There are two different methods for finding the GCF of a set of numbers.

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

Let’s take a look at both ways!!!!!

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

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

12 18

2

2 x 3 = 6

3

6 9

2 3

The Greatest Common Factor GCF is 6

6 x 2 =12 6 x 3 = 18

CHECK:

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

4

24 36

3

6 9

2 3

Circle greatest common factor

Multiply common factors

GCF = 12

Check

12 x 2 = 24

12 x 3 = 36

GCF = 4 x 3 = 12

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

90 120

10

10 x 3 = 30

3

9 12

3 4

The Greatest Common Factor GCF is 30

CHECK:

30 x 3 = 90 30 x 4 = 120

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

14 20

2

2

7 10

The Greatest Common Factor GCF is 2

CHECK:

2 x 7 =14 2 x 10 = 20

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

32 80

2

2 x 4 x 2 = 16

4

16 40

2

4 10

2 5

The Greatest Common Factor GCF is 16

CHECK:

16 x 2 =32 16 x 5 = 80

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

77 15

1

1

77 15

The Greatest Common Factor GCF is 1

CHECK:

1 x 77 = 77 1 x 15 = 15

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

36 48 30

2

2 x 3 = 6

18 24 15

3

6 8 5

The Greatest Common Factor GCF is 6

CHECK:

6 x 6 =36 6 x 8 = 48 6 x 5 =30

• Page 236 (#8-17, 37-38)

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