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BartSMP [9]
3 years ago
8

What is the greatest common factor of 32 and 48

Mathematics
2 answers:
Alexeev081 [22]3 years ago
6 0
The factors<span> for </span>32<span> are </span><span><span>−32,−16,−8,−4,−2,−1,1,2,4,8,16,32</span><span>.

</span></span>The factors<span> for </span>48<span> are </span><span><span>−48,−24,−16,−12,−8,−6,−4,−3,−2,−1,1,2,3,4,6,8,12,16,24,48</span>.

List of all the factors for 32 and 48. 

</span><span>32=−32,−16,−8,−4,−2,−1,1,2,4,8,16,32</span> 
<span>48=−48,−24,−16,−12,−8,−6,−4,−3,−2,−1,1,2,3,4,6,8,12,16,24,48

</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.

16</span>
Bond [772]3 years ago
4 0
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.
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