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20 January, 09:01

What is the greatest common factor of 84 and 96

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Answers (2)
  1. 20 January, 09:09
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    The GCF of 84 and 96 is 12.

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

    84 / 12 = 7
  2. 20 January, 09:18
    0
    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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