document.write( "Question 45679: Can someone help me with this problem?\r
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document.write( " I need to find the GCF (greatest common factor) for each groups of numbers:\r
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document.write( " 36, 54, and 180\r
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document.write( " Thanks,
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Algebra.Com's Answer #30358 by stanbon(75887)![]() ![]() ![]() 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( " |