Transcript Common Factors and Greatest Common Factors

Common Factors and
Greatest Common Factors
How to find them and what to
do with them!
What are factors?
• The numbers you multiply together
to get a product.
• Example: 8 X 3 = 24 So 8 and 3
are factors of 24.
• What are some other factors?
What are the factors of
24
• 1 X 24
• 2 X 12
•3X8
•4X6
When we talk about fractions we
will need to find common factors.
• Then you will
• You will need
need to look at
to make a list of the list and
all the factors
determine the
of both
factors they have
in common
numbers
What are the common
factors of
24 and 36
List all the factors for
both numbers
24 and 36
• FACTORS OF 24
• FACTORS OF 36
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1 X 24
2 X 12
3X8
4X6
1 X 36
2 X 18
3 X 12
4X9
6X6
Which factors do they have in
common
•
The factors of 24 are 1,2,3,4,6,8,12,24
• The factors of 36 are
1,2,3,4,6,9,12,18,36
• They have 1,2,3,4,6, and 12 in common.
• What is the greatest common factor?
The Greatest Common
Factor
(also known as the GCF)
is 12
Try some more!
• What is the Greatest Common
Factor of 6 and 30?
• What is the GCF of 14 and 20?
• What is the GCF of 4 and 8?
Some questions to think about
• Can one of the numbers be the
Greatest Common Factor? If so,
when?
• Is it possible to have 1 as a
Greatest Common Factor? If
so, when?