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    GCF (HCF) of 12 and 24

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 12 and 24?

    Answer

    GCF (HCF) of 12 and 24 is
    12

    Common factors: 1, 2, 3, 4, 6, 12

    12 divides 24 (24 ÷ 12 = 2), so the GCF is the smaller number itself.

    12 = 22 × 3

    24 = 23 × 3

    Prime1224Lowest power
    2222322
    3333

    GCF = 22 × 3 = 12

    More with these numbers

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    What is the GCF (HCF) of 12 and 24. The GCF of 12 and 24 is 12 — 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
    1266
    1271
    1284
    1293
    12102
    12131
    12142
    12153
    12164
    12171
    12186
    12191
    12204
    12213
    12222
    122412
    12251
    12262
    12273
    12284
    12306
    12324
    12333
    12342
    12351
    123612
    12393
    12404
    12411
    12426

    FAQ

    What is the Greatest Common Divisor of 12 and 24?

    GCF (HCF) of 12 and 24 is 12

    How to find the GCF of 12 and 24?

    You can find the GCF of 12 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 12 and 24 is 12.

    What prime factors do 12 and 24 share?

    The prime factorizations of 12 and 24 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

    How does the GCF reduce the fraction 12/24?

    Divide the numerator and the denominator by the GCF 12: 12 ÷ 12 = 1 and 24 ÷ 12 = 2. So 12/24 in lowest terms is 1/2.

    See Also