document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=273720>Question 273720</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the gcf of 24 and 441  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #199922 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=199922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Garamond\" size=\"+2\">\r<BR>\n" );
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document.write( "Find the prime factorization of 24.\r<BR>\n" );
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document.write( "24 is even, so divisible by 2.  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 24\ \div\ 2\ =\ 12\"><BR>\n" );
document.write( "12 is even, so divisible by 2.  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 12\ \div\ 2\ =\ 6\"><BR>\n" );
document.write( "6 is even, so divisible by 2.  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 6\ \div\ 2\ =\ 3\"><BR>\n" );
document.write( "3 is prime.\r<BR>\n" );
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document.write( "Hence, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 24\ =\ 2\ \times\ 2\ \times\ 2\ \times\ 3\">\r<BR>\n" );
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document.write( "Find the prime factorization of 441.\r<BR>\n" );
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document.write( "441 is odd, so not divisible by 2.<BR>\n" );
document.write( "441 sum of digits is 12.  12 is divisible by 3, hence 441 divisible by 3.  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 441\ \div\ 3\ =\ 147\"><BR>\n" );
document.write( "147 sum of digits is 12, so 147 is divisible by 3.  <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 147\ \div\ 3\ =\ 49\"><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 49\ =\ 7^2\"> and 7 is prime.\r<BR>\n" );
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document.write( "Hence, <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large 441\ =\ 3\ \times\ 3\ \times\ 7\ \times\ 7\">\r<BR>\n" );
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document.write( "441 has no factors of 2.  24 has no factors of 7.  24 has one factor of 3 and 441 has 2 factors of 3.  The fewest number of times 3 occurs is 1, hence the GCF is 3.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
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