Verified Answer :

The GCF of 84 and 96 is 12.

96 divided by 12 = 8  (So 96 is divisble by 12)

84 / 12 = 7

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To find a GCF, find the prime numbers that multiply to equal the number you want. 

84 = 2 42 = 2  2 21 = 2  2  3  7

96 = 2 48 = 2 2 24 = 2 2 2 12 = 2  2 2 2 6 = 2 2 2 2 2  3 

Then you find the factors that each number (84 and 96) have in common:

2 and 2     2

2 and 2     2

3 and 3     3

So you multiply the respective common factors together:

2 2 * 3 = 12

And 12 is your GCF.

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