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    GCF (HCF) of 4 and 12

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 4 and 12?

    Answer

    GCF (HCF) of 4 and 12 is
    4

    Common factors: 1, 2, 4

    4 divides 12 (12 ÷ 4 = 3), so the GCF is the smaller number itself.

    4 = 22

    12 = 22 × 3

    Prime412Lowest power
    2222222
    3—3—

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

    GCF = 22 = 4

    More with these numbers

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    What is the GCF (HCF) of 4 and 12. The GCF of 4 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
    422
    431
    451
    462
    471
    484
    491
    4102
    4124
    4131
    4142
    4151
    4164
    4182
    4204
    4211
    4231
    4244
    4251
    4262
    4271
    4284
    4324
    4351
    4371
    4404
    4444
    4451
    4484
    4524

    FAQ

    What is the Greatest Common Divisor of 4 and 12?

    GCF (HCF) of 4 and 12 is 4

    How to find the GCF of 4 and 12?

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

    What prime factors do 4 and 12 share?

    The prime factorizations of 4 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 4/12?

    Divide the numerator and the denominator by the GCF 4: 4 ÷ 4 = 1 and 12 ÷ 4 = 3. So 4/12 in lowest terms is 1/3.

    See Also