What is the GCF of the numbers: (a) 8, 16 (b) 24, 66?

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Answer 1 · 2017-10-07T19:28:37

(a) #GCF(8,16)=8#

#GCF(24,66)=6#

we can use prime factorisation

(a)

#8=color(red)(2xx2xx2)#

#16=color(red)(2xx2xx2)xx2#

pick out the common factors

there are three common factors of 2

#:. GCF(8,16)=2xx2xx2=8#

(b)

#24=color(red)(2)xx2xx2xxcolor(red)(3)#

#66=color(red)(2)xxcolor(red)(3)xx11#

#GCF(24,66)=2xx3=6#