document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=750790>Question 750790</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the greatest common factor? How do you know when you have found the greatest one? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #456781 by </B><A HREF=/tutors/aboutme.mpl?userid=timvanswearingen><B>timvanswearingen(106)</B></A><img src=\"/images/stars/stars-09.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=timvanswearingen><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/cgi-bin/show-face.mpl?user=timvanswearingen><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=456781\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You find all the prime factors for each number. These are called factor trees, hopefully you know how to do one. Then, whichever they have in common, you multiply them together to get the GCF.  For example, let's use 24 and 60.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24=4%2A6 ALIGN=MIDDLE  ALT=\"24=4%2A6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24=%282%2A2%29%2A%282%2A3%29 ALIGN=MIDDLE  ALT=\"24=%282%2A2%29%2A%282%2A3%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=24=2%2A2%2A2%2A3 ALIGN=MIDDLE  ALT=\"24=2%2A2%2A2%2A3\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now, let's do 60:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60=12%2A5 ALIGN=MIDDLE  ALT=\"60=12%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60=%284%2A3%29%2A5 ALIGN=MIDDLE  ALT=\"60=%284%2A3%29%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60=2%2A2%2A3%2A5 ALIGN=MIDDLE  ALT=\"60=2%2A2%2A3%2A5\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "We have found the prime factorizations of both numbers.  They each have 2 factors of 2 and they each have 1 factor of 3.  \r<BR>\n" );
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document.write( "So the GCF is: 2*2*3=12.  12 is the GCF </SPAN>\n" );
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