What is the greatest common factor of 3^3 x 5^4 and 2 x 5^3 x 11?

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What is the greatest common factor of 3^3 x 5^4 and 2 x 5^3 x 11?

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Thu Hương 4 years 2021-07-26T15:57:28+00:00 1 Answers 22 views 0

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  1. dangkhoa
    0
    2021-07-26T15:58:43+00:00
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    \huge\textsf{Hey there!}

    \mathsf{3^3 \times 5^4}

    \mathsf{3^3}

    \mathsf{= 3\times3\times3}

    \mathsf{= 9\times3}

    \mathsf{= \bf 27}

    \mathsf{5^4}

    \mathsf{= 5\times 5\times5\times 5}

    \mathsf{= 25\times25}

    \mathsf{= \bf 625}

    \mathsf{27 \times625}

    \mathsf{= \bf 16,875}

    \mathsf{2\times5^3\times11}

    \mathsf{5^3}

    \mathsf{= 5\times 5\times5}

    \mathsf{= 25\times 5}

    \mathsf{\bf = 125}

    \mathsf{2\times125\times11}

    \mathsf{= 250\times11}

    \mathsf{\bf = 2,750}

    \large\textsf{Find the Greatest Common Factor (GCF) of 16,875 \& 2,750}

    \large\textsf{16,875: 1, 3, 5, 9, 15, 25, 27, 45, 75, 125, 135, 225, 375, 625, 675, 1,125,}\\\\\large\textsf{1,875, 3,375, 5,625, \& 16,875}

    \large\textsf{2,750: 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 125, 250, 275, 550, 1,375, \& 2,750}

    \boxed{\boxed{\huge\textsf{Answer: the GCF is \bf 125 }}}\huge\checkmark

    \large\textsf{Good luck on your assignment and enjoy your day!}

    ~\frak{Amphitrite1040:)}

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