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    GCF (HCF) of 14 and 24

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 14 and 24?

    Answer

    GCF (HCF) of 14 and 24 is
    2

    Common factors: 1, 2

    2 divides both: 14 ÷ 2 = 7, 24 ÷ 2 = 12 — and 7 and 12 share no factor but 1, so no larger number divides both.

    14 = 2 × 7

    24 = 23 × 3

    Prime1424Lowest power
    22232
    3—3—
    77——

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

    GCF = 2

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    What is the GCF (HCF) of 14 and 24. The GCF of 14 and 24 is 2 — 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
    1411
    1491
    14151
    14162
    14171
    14182
    14191
    14202
    14217
    14222
    14231
    14242
    14251
    14262
    14271
    142814
    14302
    14322
    14331
    14342
    14357
    14362
    14382
    14391
    14411
    144214
    14431
    14442
    14451
    14462

    FAQ

    What is the Greatest Common Divisor of 14 and 24?

    GCF (HCF) of 14 and 24 is 2

    How to find the GCF of 14 and 24?

    You can find the GCF of 14 and 24 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 14 and 24 is 2.

    What prime factors do 14 and 24 share?

    The prime factorizations of 14 and 24 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

    How does the GCF reduce the fraction 14/24?

    Divide the numerator and the denominator by the GCF 2: 14 ÷ 2 = 7 and 24 ÷ 2 = 12. So 14/24 in lowest terms is 7/12.

    See Also