kalayahpinkston kalayahpinkston
  • 11-12-2018
  • Mathematics
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which choice shows how to find the greatest common factor of 18 and 72 through prime factorization

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gmany
gmany gmany
  • 14-12-2018

[tex]\begin{array}{c|c}18&2\\9&3\\3&3\\1\end{array}\\\\18=\boxed2\cdot\boxed3\cdot\boxed3\\\\\begin{array}{c|c}72&2\\36&2\\18&2\\9&3\\3&3\\1\end{array}\\\\72=2\cdot2\cdot\boxed2\cdot\boxed3\cdot\boxed3\\\\GCF(18,\ 72)=\boxed2\cdot\boxed3\cdot\boxed3=\boxed{\boxed{18}}[/tex]

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