Find the Highest Common Factor of 32 and 14. ​

Question

Find the Highest Common Factor of 32 and 14.

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Nguyệt Ánh 3 years 2021-07-15T23:54:23+00:00 2 Answers 70 views 0

Answers ( )

    0
    2021-07-15T23:55:27+00:00

    Answer:

    2

    Step-by-step explanation:

    Prime Factorization of 14

    Prime factors of 14 are 2, 7. Prime factorization of 14 in exponential form is:

    14 = 21 × 71

    Step-2: Prime Factorization of 32

    Prime factors of 32 are 2. Prime factorization of 32 in exponential form is:

    32 = 25

    Step-3: Factors of 14

    List of positive integer factors of 14 that divides 14 without a remainder.

    1, 2, 7

    Step-4: Factors of 32

    List of positive integer factors of 32 that divides 14 without a remainder.

    1, 2, 4, 8, 16

    Final Step: Greatest Common Factor Number

    We found the factors and prime factorization of 14 and 32. The biggest common factor number is the GCF number.

    So the greatest common factor 14 and 32

    0
    2021-07-15T23:56:12+00:00

    The highest common factor between 32 and 14 is 2

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