document.write( "Question 1010060: I have an area 114 inches high by 144 inches wide. I need to know the largest tile I can use without having to cut the tile, and how many. \n" ); document.write( "
Algebra.Com's Answer #625533 by MathLover1(20850)\"\" \"About 
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\n" ); document.write( "an area \"114in\" high by \"144in\" wide:\r
\n" ); document.write( "\n" ); document.write( "\"A=114in%2A144in\"\r
\n" ); document.write( "\n" ); document.write( "\"A=16416in%5E2\"\r
\n" ); document.write( "\n" ); document.write( " to know the largest tile you can use without having to cut the tile, find greatest common factor of \"114\" and \"144\"\r
\n" ); document.write( "\n" ); document.write( "\"114=+2%2A3%2A19\" (\"3\" distinct prime factors)
\n" ); document.write( "and \"144=2%5E4%2A3%5E2\" (\"6\" prime factors, \"2\" distinct)\r
\n" ); document.write( "\n" ); document.write( "so, \"gcf%28114%2C144%29=2%2A3=6\"\r
\n" ); document.write( "\n" ); document.write( "and the largest tile will be \"6in\" by \"6in\"=>\"36in%5E2\"\r
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\n" ); document.write( "\n" ); document.write( "\"16416in%5E2%2F36in%5E2=456\" tiles\r
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