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    GCF (HCF) of 20 and 12

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 20 and 12?

    Answer

    GCF (HCF) of 20 and 12 is
    4

    Common factors: 1, 2, 4

    4 divides both: 20 ÷ 4 = 5, 12 ÷ 4 = 3 — and 5 and 3 share no factor but 1, so no larger number divides both.

    20 = 22 × 5

    12 = 22 × 3

    Prime2012Lowest power
    2222222
    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 12. The GCF of 20 and 12 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
    20124
    20155
    20211
    20222
    20231
    20244
    20255
    20262
    20271
    20284
    203010
    20324
    20355
    20364
    20382
    20391
    204020
    20422
    20444
    20455
    20471
    20484
    205010
    20555
    20564
    20582
    20591
    206020
    207010
    20755

    FAQ

    What is the Greatest Common Divisor of 20 and 12?

    GCF (HCF) of 20 and 12 is 4

    How to find the GCF of 20 and 12?

    You can find the GCF of 20 and 12 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 20 and 12 is 4.

    What prime factors do 20 and 12 share?

    The prime factorizations of 20 and 12 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 20/12?

    Divide the numerator and the denominator by the GCF 4: 20 ÷ 4 = 5 and 12 ÷ 4 = 3. So 20/12 in lowest terms is 5/3.

    See Also