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    GCF of 8 and 20 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 8 and 20?

    Answer

    GCF of 8 and 20 is
    4

    (Four)

    Finding GCF for 8 and 20 using all factors (divisors) listing

    The first method to find GCF for numbers 8 and 20 is to list all factors for both numbers and pick the highest common one:

    All factors of 8: 1, 2, 4, 8

    All factors of 20: 1, 2, 4, 5, 10, 20

    So the Greatest Common Factor for 8 and 20 is 4

    Finding GCF for 8 and 20 by Prime Factorization

    The second method to find GCF for numbers 8 and 20 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 8: 2, 2, 2

    All Prime Factors of 20: 2, 2, 5

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

    Now we need to multiply them to find GCF: 2 × 2 = 4

    Related Calculations

    See Also

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    What is the GCF of 8 and 20. The GCF of 8 and 20 is 4 — 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
    831
    844
    851
    862
    891
    8102
    8111
    8124
    8131
    8142
    8151
    8168
    8171
    8182
    8191
    8204
    8211
    8222
    8248
    8251
    8262
    8271
    8284
    8291
    8302
    8311
    8328
    8331
    8351
    8364

    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 8 and 20? (The answer is: 4). Select the first number (e.g. '8') and the second number (e.g. '20'). 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 8 and 20?

    GCF of 8 and 20 is 4

    How to find the GCF of 8 and 20?

    You can find the GCF of 8 and 20 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 20 is 4.

    What prime factors do 8 and 20 share?

    The prime factorizations of 8 and 20 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 8/20?

    Divide the numerator and the denominator by the GCF 4: 8 ÷ 4 = 2 and 20 ÷ 4 = 5. So 8/20 in lowest terms is 2/5.

    See Also