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    GCF (HCF) of 100 and 180

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 100 and 180?

    Answer

    GCF (HCF) of 100 and 180 is
    20

    Common factors: 1, 2, 4, 5, 10, 20

    20 divides both: 100 ÷ 20 = 5, 180 ÷ 20 = 9 — and 5 and 9 share no factor but 1, so no larger number divides both.

    100 = 22 × 52

    180 = 22 × 32 × 5

    Prime100180Lowest power
    2222222
    3—32—
    55255

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

    GCF = 22 × 5 = 20

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    What is the GCF (HCF) of 100 and 180. The GCF of 100 and 180 is 20 — 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
    100100100
    1001055
    10011010
    10012020
    1001211
    10012525
    1001355
    10014020
    1001444
    1001455
    10015050
    10016020
    1001655
    10017010
    10018020
    1001855
    10019010
    100200100
    1002055
    10022020
    10023010
    1002355
    10024020
    1002455
    10025050
    10026020
    10027010
    10027525
    10028020
    10029010

    FAQ

    What is the Greatest Common Divisor of 100 and 180?

    GCF (HCF) of 100 and 180 is 20

    How to find the GCF of 100 and 180?

    You can find the GCF of 100 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 100 and 180 is 20.

    What prime factors do 100 and 180 share?

    The prime factorizations of 100 and 180 have 2 × 2 × 5 in common, and multiplying those shared primes gives 20 — exactly the greatest common factor.

    How does the GCF reduce the fraction 100/180?

    Divide the numerator and the denominator by the GCF 20: 100 ÷ 20 = 5 and 180 ÷ 20 = 9. So 100/180 in lowest terms is 5/9.

    See Also