document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=215243>Question 215243</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the greatest number that exactly devides 840 and 2296 ?<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #162621 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=162621\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the greatest number that exactly devides 840 and 2296 ?<BR>\n" );
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document.write( "Procedure:<BR>\n" );
document.write( "Find the prime-factor form of each of those numbers.<BR>\n" );
document.write( "Then find the factor cluster that is common to the two numbers.<BR>\n" );
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document.write( "840 = 2*420= 2^2*210= 2^3*105 = 2^3*5*21 = 2^3*3*5*7<BR>\n" );
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document.write( "2296 = 2*1148=2^2*574=2^3*287 = 2^3*7*41<BR>\n" );
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document.write( "It looks like 2^3*7 is the greatest common factor cluster.<BR>\n" );
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document.write( "Answer 8*7 = 56<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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