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    GCF (HCF) of 18 and 72

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 18 and 72?

    Answer

    GCF (HCF) of 18 and 72 is
    18

    Common factors: 1, 2, 3, 6, 9, 18

    18 divides 72 (72 ÷ 18 = 4), so the GCF is the smaller number itself.

    18 = 2 × 32

    72 = 23 × 32

    Prime1872Lowest power
    22232
    3323232

    GCF = 2 × 32 = 18

    More with these numbers

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    What is the GCF (HCF) of 18 and 72. The GCF of 18 and 72 is 18 — 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
    18459
    18462
    18486
    18491
    18502
    185418
    18551
    18562
    18582
    18591
    18606
    18639
    18642
    18666
    18702
    187218
    18753
    18786
    18802
    18819
    18846
    18882
    18966
    18999
    181002
    1810818
    181122
    181206
    181302
    182259

    FAQ

    What is the Greatest Common Divisor of 18 and 72?

    GCF (HCF) of 18 and 72 is 18

    How to find the GCF of 18 and 72?

    You can find the GCF of 18 and 72 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 18 and 72 is 18.

    What prime factors do 18 and 72 share?

    The prime factorizations of 18 and 72 have 2 × 3 × 3 in common, and multiplying those shared primes gives 18 — exactly the greatest common factor.

    How does the GCF reduce the fraction 18/72?

    Divide the numerator and the denominator by the GCF 18: 18 ÷ 18 = 1 and 72 ÷ 18 = 4. So 18/72 in lowest terms is 1/4.

    See Also