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    GCF (HCF) of 14 and 28

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 14 and 28?

    Answer

    GCF (HCF) of 14 and 28 is
    14

    Common factors: 1, 2, 7, 14

    14 divides 28 (28 ÷ 14 = 2), so the GCF is the smaller number itself.

    14 = 2 × 7

    28 = 22 × 7

    Prime1428Lowest power
    22222
    7777

    GCF = 2 × 7 = 14

    More with these numbers

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    What is the GCF (HCF) of 14 and 28. The GCF of 14 and 28 is 14 — 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 28?

    GCF (HCF) of 14 and 28 is 14

    How to find the GCF of 14 and 28?

    You can find the GCF of 14 and 28 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 14 and 28 is 14.

    What prime factors do 14 and 28 share?

    The prime factorizations of 14 and 28 have 2 × 7 in common, and multiplying those shared primes gives 14 — exactly the greatest common factor.

    How does the GCF reduce the fraction 14/28?

    Divide the numerator and the denominator by the GCF 14: 14 ÷ 14 = 1 and 28 ÷ 14 = 2. So 14/28 in lowest terms is 1/2.

    See Also