Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    GCF (HCF) of 210 and 180

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 210 and 180?

    Answer

    GCF (HCF) of 210 and 180 is
    30

    Common factors: 1, 2, 3, 5, 6, 10, 15, 30

    30 divides both: 210 ÷ 30 = 7, 180 ÷ 30 = 6 — and 7 and 6 share no factor but 1, so no larger number divides both.

    210 = 2 × 3 × 5 × 7

    180 = 22 × 32 × 5

    Prime210180Lowest power
    22222
    33323
    5555
    77——

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

    GCF = 2 × 3 × 5 = 30

    More with these numbers

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/greatest-common-factor-of/210--180Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of/210--180">What is the GCF (HCF) of 210 and 180 - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the GCF (HCF) of 210 and 180. The GCF of 210 and 180 is 30 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
    https://calculat.io/en/number/greatest-common-factor-of/210--180/generated.jpgCopy

    GCF Table

    Number 1Number 2GCF
    21016515
    2101662
    2101671
    21016842
    2101691
    21017010
    2101713
    2101722
    2101731
    2101746
    21017535
    2101762
    2101773
    2101782
    2101791
    21018030
    2101811
    21018214
    2101833
    2101842
    2101855
    2101866
    2101871
    2101882
    21018921
    21019010
    2101911
    2101926
    2101931
    2101942

    FAQ

    What is the Greatest Common Divisor of 210 and 180?

    GCF (HCF) of 210 and 180 is 30

    How to find the GCF of 210 and 180?

    You can find the GCF of 210 and 180 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 210 and 180 is 30.

    What prime factors do 210 and 180 share?

    The prime factorizations of 210 and 180 have 2 × 3 × 5 in common, and multiplying those shared primes gives 30 — exactly the greatest common factor.

    How does the GCF reduce the fraction 210/180?

    Divide the numerator and the denominator by the GCF 30: 210 ÷ 30 = 7 and 180 ÷ 30 = 6. So 210/180 in lowest terms is 7/6.

    See Also