nicolaslentz250 nicolaslentz250
  • 31-01-2022
  • Mathematics
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what is the greatest common factor of 32a and 48b

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lyonsz4113
lyonsz4113 lyonsz4113
  • 31-01-2022

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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