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    GCF (HCF) of 16 and 30

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 16 and 30?

    Answer

    GCF (HCF) of 16 and 30 is
    2

    Common factors: 1, 2

    2 divides both: 16 ÷ 2 = 8, 30 ÷ 2 = 15 — and 8 and 15 share no factor but 1, so no larger number divides both.

    16 = 24

    30 = 2 × 3 × 5

    Prime1630Lowest power
    22422
    3—3—
    5—5—

    — = power 0: the prime is not a factor of this number, so it cannot be in the GCF.

    GCF = 2

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    What is the GCF (HCF) of 16 and 30. The GCF of 16 and 30 is 2 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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    GCF Table

    Number 1Number 2GCF
    16124
    16182
    16191
    16204
    16211
    16222
    16231
    16248
    16251
    16262
    16271
    16284
    16302
    163216
    16331
    16342
    16351
    16364
    16382
    16391
    16408
    16422
    16431
    16444
    16451
    16462
    164816
    16491
    16502
    16531

    FAQ

    What is the Greatest Common Divisor of 16 and 30?

    GCF (HCF) of 16 and 30 is 2

    How to find the GCF of 16 and 30?

    You can find the GCF of 16 and 30 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 16 and 30 is 2.

    What prime factors do 16 and 30 share?

    The prime factorizations of 16 and 30 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

    How does the GCF reduce the fraction 16/30?

    Divide the numerator and the denominator by the GCF 2: 16 ÷ 2 = 8 and 30 ÷ 2 = 15. So 16/30 in lowest terms is 8/15.

    See Also