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What is the greatest common factor of 56, 14, 35, and 84?

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  1. 7 June, 13:47
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    Using Prime Factorisation, find each of the following:

    56 = 2 x 2 x 2 x 7 = 2³ x 7

    14 = 2 x 7

    35 = 5 x 7

    84 = 2 x 2 x 3 x 7 = 2² x 3 x 7

    Rewriting them again:

    56 = 2³ x 7

    14 = 2 x 7

    35 = 5 x 7

    84 = 2² x 3 x 7

    Taking the lowest power

    GCF = 2 x 7 = 14

    Ans: 14
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