</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.
We can set a standard t-test for the Null Hypothesis that
The test statistic then takes the form
with this value we then can calculate the probability that is left to the right of this value . From theory we know that t follows a standard normal distribution. Then which is smaller than the p-value set by Breyers of 0.10