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Can the greatest common factor of 16 and 42 be less than 16? Explain.

 Jan 16, 2017

Best Answer 

 #1
avatar+37097 
+5

16 = 2 x 2 x 2 x 2

42 = 2 x 3 x 7            As you can see, the GCF of these two is ' 2 '

 Jan 16, 2017
 #1
avatar+37097 
+5
Best Answer

16 = 2 x 2 x 2 x 2

42 = 2 x 3 x 7            As you can see, the GCF of these two is ' 2 '

ElectricPavlov Jan 16, 2017
 #2
avatar+40 
+5

Yes.

 

The greatest common factor of two numbers is the highest factor (biggest number) that can divide both numbers without leaving a remainder.

 

Therefore, by listing all the factors of 16 and 42 you'll see that:

16= 1, 2, 8, 16

42= 1, 2, 3, 6, 7, 14, 21, 42

 

So therefore, from the above listing you that the highest number that can divide both numbers without leaving a remainder is 2.

 

It cannot be 16, because as you can see 16 is not a factor of 42 and it cannot be greater that 16 because that factor must be able is divide a number without leaving a remainder (so anything greater than 16 gives a decimal). So the factor has to be less than 16.

 

Hope that helps.smiley

 Jan 16, 2017

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