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    GCF (HCF) of 12 and 4

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 12 and 4?

    Answer

    GCF (HCF) of 12 and 4 is
    4

    Common factors: 1, 2, 4

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

    12 = 22 × 3

    4 = 22

    Prime124Lowest power
    2222222
    33——

    — = 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 12 and 4. The GCF of 12 and 4 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
    1244
    1266
    1271
    1284
    1293
    12102
    12131
    12142
    12153
    12164
    12171
    12186
    12191
    12204
    12213
    12222
    122412
    12251
    12262
    12273
    12284
    12291
    12306
    12324
    12333
    12342
    12351
    123612
    12393
    12404

    FAQ

    What is the Greatest Common Divisor of 12 and 4?

    GCF (HCF) of 12 and 4 is 4

    How to find the GCF of 12 and 4?

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

    What prime factors do 12 and 4 share?

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

    How does the GCF reduce the fraction 12/4?

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

    See Also