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 72 and 84

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 72 and 84?

    Answer

    GCF (HCF) of 72 and 84 is
    12

    Common factors: 1, 2, 3, 4, 6, 12

    12 divides both: 72 ÷ 12 = 6, 84 ÷ 12 = 7 — and 6 and 7 share no factor but 1, so no larger number divides both.

    72 = 23 × 32

    84 = 22 × 3 × 7

    Prime7284Lowest power
    2232222
    33233
    7—7—

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

    GCF = 22 × 3 = 12

    More with these numbers

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/greatest-common-factor-of/72--84Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of/72--84">What is the GCF (HCF) of 72 and 84 - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the GCF (HCF) of 72 and 84. The GCF of 72 and 84 is 12 — 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/72--84/generated.jpgCopy

    GCF Table

    Number 1Number 2GCF
    72693
    72702
    72711
    727272
    72731
    72742
    72753
    72764
    72771
    72786
    72791
    72808
    72819
    72822
    72831
    728412
    72851
    72862
    72873
    72888
    72891
    729018
    72911
    72924
    72933
    72942
    72951
    729624
    72971
    72982

    FAQ

    What is the Greatest Common Divisor of 72 and 84?

    GCF (HCF) of 72 and 84 is 12

    How to find the GCF of 72 and 84?

    You can find the GCF of 72 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 72 and 84 is 12.

    What prime factors do 72 and 84 share?

    The prime factorizations of 72 and 84 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

    How does the GCF reduce the fraction 72/84?

    Divide the numerator and the denominator by the GCF 12: 72 ÷ 12 = 6 and 84 ÷ 12 = 7. So 72/84 in lowest terms is 6/7.

    See Also