Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    GCF of 84 and 420 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 84 and 420?

    Answer

    GCF of 84 and 420 is
    84

    (Eighty-four)

    Finding GCF for 84 and 420 using all factors (divisors) listing

    The first method to find GCF for numbers 84 and 420 is to list all factors for both numbers and pick the highest common one:

    All factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

    All factors of 420: 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

    So the Greatest Common Factor for 84 and 420 is 84

    Finding GCF for 84 and 420 by Prime Factorization

    The second method to find GCF for numbers 84 and 420 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 84: 2, 2, 3, 7

    All Prime Factors of 420: 2, 2, 3, 5, 7

    As we can see there are Prime Factors common to both numbers: 2, 2, 3, 7

    Now we need to multiply them to find GCF: 2 × 2 × 3 × 7 = 84

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/greatest-common-factor-of/84--420Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of/84--420">What is the GCF of 84 and 420 - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the GCF of 84 and 420. The GCF of 84 and 420 is 84 — 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/84--420/generated.jpgCopy

    GCF Table

    Number 1Number 2GCF
    844053
    8440614
    844071
    8440812
    844091
    844102
    844113
    844124
    844137
    844146
    844151
    844164
    844173
    844182
    844191
    8442084
    844211
    844222
    844233
    844244
    844251
    844266
    844277
    844284
    844293
    844302
    844311
    8443212
    844331
    8443414

    About "Greatest Common Factor" Calculator

    This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 84 and 420? (The answer is: 84). Select the first number (e.g. '84') and the second number (e.g. '420'). After that hit the 'Calculate' button.
    Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    FAQ

    What is the Greatest Common Divisor of 84 and 420?

    GCF of 84 and 420 is 84

    How to find the GCF of 84 and 420?

    You can find the GCF of 84 and 420 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 420 is 84.

    What prime factors do 84 and 420 share?

    The prime factorizations of 84 and 420 have 2 × 2 × 3 × 7 in common, and multiplying those shared primes gives 84 — exactly the greatest common factor.

    How does the GCF reduce the fraction 84/420?

    Divide the numerator and the denominator by the GCF 84: 84 ÷ 84 = 1 and 420 ÷ 84 = 5. So 84/420 in lowest terms is 1/5.

    See Also