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14 January, 14:15

What is the gcf of 33 and 46?

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  1. 14 January, 15:13
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    We can use the Euclidean algorithm to find out:

    46 = 1*33 + 13

    33 = 2*13 + 7

    13 = 1*7 + 6

    7 = 1*6 + 1

    The last remainder is 1, which means 33 and 46 are coprime and gcf (33, 46) = 1.

    Another way to see this is to write out the prime factorizations of both numbers:

    33 = 3*11

    46 = 2*23

    As you can see, there are no shared divisors, so the gcf is 1.
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