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    GCF (HCF) of 20 and 48

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 20 and 48?

    Answer

    GCF (HCF) of 20 and 48 is
    4

    Common factors: 1, 2, 4

    4 divides both: 20 ÷ 4 = 5, 48 ÷ 4 = 12 — and 5 and 12 share no factor but 1, so no larger number divides both.

    20 = 22 × 5

    48 = 24 × 3

    Prime2048Lowest power
    2222422
    3—3—
    55——

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

    GCF = 22 = 4

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    What is the GCF (HCF) of 20 and 48. The GCF of 20 and 48 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
    20255
    20262
    20271
    20284
    203010
    20324
    20355
    20364
    20382
    20391
    204020
    20422
    20444
    20455
    20471
    20484
    205010
    20555
    20564
    20582
    20591
    206020
    207010
    20755
    20844
    209010
    2010020
    201555
    201655
    2019010

    FAQ

    What is the Greatest Common Divisor of 20 and 48?

    GCF (HCF) of 20 and 48 is 4

    How to find the GCF of 20 and 48?

    You can find the GCF of 20 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 20 and 48 is 4.

    What prime factors do 20 and 48 share?

    The prime factorizations of 20 and 48 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 20/48?

    Divide the numerator and the denominator by the GCF 4: 20 ÷ 4 = 5 and 48 ÷ 4 = 12. So 20/48 in lowest terms is 5/12.

    See Also