</span>The <span>common factors</span><span> for </span><span>32,48</span><span> are </span><span><span>−16,−8,−4,−2,−1,1,2,4,8,16</span>.</span><span>−16,−8,−4,−2,−1,1,2,4,8,16 </span> The GCF<span> of numerical </span>factors <span>−16,−8,−4,−2,−1,1,2,4,8,16</span><span> is </span><span>16.
Turn each number into the product of it's prime factors.
32=16x2=2x2x2x2x2=2^5
48=24*2=6x4x2=2x3x2x2x2
Pick the highest number that occurs. In this case it is 2. Now we have to see how many times it appears in both. It appears 5 times in 32 and 4 times in 48. 4 is the highest number of times it appears in the numbers so:
2^4=2x2x2x2=16
The Greatest Common Factor (GCF) of 32 and 48 is 16.
<span>The complete question includes these choices: A)1 foot B)2 feet C)5 feet D)9 feet The correct answer is B) 2 feet, approx. 24 inches; most standard desks have a height between 28'' to 30''. The answer A is too low, C and D are too much, the perfect answer would be at least 3-4 feet, but as this question proposes only these answers, the nearest estimating value is B)2 feet. </span>
