What is greatest common factor of #8," "12" and " 24#?

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sjc Share
Feb 11, 2018

Answer:

#gcf(8,12,24)=4#

Explanation:

Another approach

List all the factors and pick out the common ones

factors#" "8:{color(red)(1,2,4),8}#

factors#" "12;{color(red)(1,2),3,color(red)(4),6,12}#

factors#" "24:{color(red)(1,2),3,color(red)(4),6,8,12,24}#

common factors#" "{1,2,4}#

#gcf(8,12,24)=4#

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Write your answer here...
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Then teach the underlying concepts
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Answer

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Answer:

Explanation

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1
Feb 13, 2018

Answer:

The greatest common factor of these numbers is 4.
How you determine this is explained below

Explanation:

To find greatest common factor, write each number as the product of its prime factors:

#8=color(blue)(2xx2)xx2#

#12=color(blue)(2xx2)" "xx3#

#24=color(blue)(2xx2)xx2xx3#

Now, look for the factors that can be found in all three expressions.
This is just #color(blue)(2xx2)#

This product is the greatest common factor. (#4# in this case.)

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