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 60 and 400

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 60 and 400?

    Answer

    GCF (HCF) of 60 and 400 is
    20

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

    20 divides both: 60 ÷ 20 = 3, 400 ÷ 20 = 20 — and 3 and 20 share no factor but 1, so no larger number divides both.

    60 = 22 × 3 × 5

    400 = 24 × 52

    Prime60400Lowest power
    2222422
    33——
    55525

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

    GCF = 22 × 5 = 20

    More with these numbers

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/greatest-common-factor-of/60--400Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of/60--400">What is the GCF (HCF) of 60 and 400 - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the GCF (HCF) of 60 and 400. The GCF of 60 and 400 is 20 — 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/60--400/generated.jpgCopy

    GCF Table

    Number 1Number 2GCF
    6015030
    6016515
    6017010
    601755
    6018060
    601855
    6019515
    6020020
    602055
    6021030
    6022020
    6022515
    602455
    6025010
    6026020
    602755
    6029010
    603255
    603355
    603555
    6037515
    603855
    6039030
    6040020
    604255
    6043010
    6043515
    6045030
    6047010
    6049515

    FAQ

    What is the Greatest Common Divisor of 60 and 400?

    GCF (HCF) of 60 and 400 is 20

    How to find the GCF of 60 and 400?

    You can find the GCF of 60 and 400 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 60 and 400 is 20.

    What prime factors do 60 and 400 share?

    The prime factorizations of 60 and 400 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 60/400?

    Divide the numerator and the denominator by the GCF 20: 60 ÷ 20 = 3 and 400 ÷ 20 = 20. So 60/400 in lowest terms is 3/20.

    See Also