document.write( "Question 1097998: Mrs. Jones has 18 boys and 27 girls in choirs. She wants them in equal rows. Only boys or girls will be in row(meaning no mixed rows). What is the greatest number of students that can stand in each row? \n" ); document.write( "

Algebra.Com's Answer #712403 by KMST(5328) $\"\"$ $\"About$

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$\"18=2%2A9\"$ (or $\"18=2%2A3%5E2\"$ if you prefer)
\n" ); document.write( " $\"27=3%2A9\"$ (or $\"27=3%5E3\"$ if you prefer)
\n" ); document.write( "Both numbers are divisible by $\"9\"$ ,
\n" ); document.write( "so Mrs. Jones could make rows of $\"9\"$ students:
\n" ); document.write( " $\"27%2F9=3\"$ rows of girls, and
\n" ); document.write( " $\"18%2F9=2\"$ rows of boys.
\n" ); document.write( "
\n" ); document.write( "NOTE:
\n" ); document.write( "If we have to mention vocabulary words,
\n" ); document.write( " $\"18=2%2A3%5E2\"$ and $\"27=3%5E3\"$ are the prime factorizations of 18, and 27,
\n" ); document.write( "and $\"3%5E2=9\"$ is the greatest common factor,
\n" ); document.write( "using all common prime factors (just 3),
\n" ); document.write( "with the least exponent found in the factorizations. \n" ); document.write( "

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