find the GCF and the LCM of the numbers using prime factorization 25,135 and 15,40?

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  • 7 years ago
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    PF of 25 = 5^2

    PF of 135 = 5*27

    LCM = 5^2*7

    therefore GCF is 5 and LCM = 175

    PF of 15 = 3*5

    PF of 40 =2^3*5

    LCM = 2^3*3*5

    Therefore GCF is 5 and LCM is 120

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  • 7 years ago

    1) 25 = 5 * 5

    135 = 3 * 3 * 3 * 5

    Hence, GCF = 5

    LCM = 3 * 3 * 3 * 5 * 5 = 675

    2) 15 = 3 * 5

    40 = 2 * 2 * 2 * 5

    Hence, GCF = 5

    LCM = 2 * 2 * 2 * 3 * 5 = 120

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  • 7 years ago

    25 = 5*5

    135 = 5*3*3*3

    So, GCF(25,135) = 5 and LCM(25,135) = 5*5*3*3*3 = 675

    15 = 3*5

    40 = 5*2*2*2

    GCF(15,40) = 5 and LCM(15,40) = 3*5*2*2*2 = 120

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