document.write( "Question 45679: Can someone help me with this problem?\r
\n" ); document.write( "\n" ); document.write( " I need to find the GCF (greatest common factor) for each groups of numbers:\r
\n" ); document.write( "\n" ); document.write( " 36, 54, and 180\r
\n" ); document.write( "\n" ); document.write( " Thanks,
\n" ); document.write( " Sher
\n" ); document.write( "

Algebra.Com's Answer #30358 by stanbon(75887)\"\" \"About 
You can put this solution on YOUR website!
36, 54, and 180 \r
\n" ); document.write( "\n" ); document.write( "Write each in prime-factor form, as follows:
\n" ); document.write( "36= 2^2 * 3^2
\n" ); document.write( "54= 2 * 3^3
\n" ); document.write( "180 = 2^2 * 3^2 * 5\r
\n" ); document.write( "\n" ); document.write( "The GCF must contain the lowest prime power factors common to all the numbers:\r
\n" ); document.write( "\n" ); document.write( "GCF = 2 * 3^2 = 18\r
\n" ); document.write( "\n" ); document.write( "It doesn't have a 2^2 because 2^2 is not common to all three numbers.
\n" ); document.write( "It doesn't have a 3^3 for the same reason.
\n" ); document.write( "It doesn't have a 5 for the same reason.\r
\n" ); document.write( "\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "
\n" );