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    GCF (HCF) of 14 and 42

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 14 and 42?

    Answer

    GCF (HCF) of 14 and 42 is
    14

    Common factors: 1, 2, 7, 14

    14 divides 42 (42 ÷ 14 = 3), so the GCF is the smaller number itself.

    14 = 2 × 7

    42 = 2 × 3 × 7

    Prime1442Lowest power
    2222
    3—3—
    7777

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

    GCF = 2 × 7 = 14

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    What is the GCF (HCF) of 14 and 42. The GCF of 14 and 42 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
    14231
    14242
    14251
    14262
    14271
    142814
    14302
    14322
    14331
    14342
    14357
    14362
    14382
    14391
    14411
    144214
    14431
    14442
    14451
    14462
    14471
    14482
    14497
    14502
    14542
    14551
    145614
    14582
    14602
    14637

    FAQ

    What is the Greatest Common Divisor of 14 and 42?

    GCF (HCF) of 14 and 42 is 14

    How to find the GCF of 14 and 42?

    You can find the GCF of 14 and 42 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 14 and 42 is 14.

    What prime factors do 14 and 42 share?

    The prime factorizations of 14 and 42 have 2 × 7 in common, and multiplying those shared primes gives 14 — exactly the greatest common factor.

    How does the GCF reduce the fraction 14/42?

    Divide the numerator and the denominator by the GCF 14: 14 ÷ 14 = 1 and 42 ÷ 14 = 3. So 14/42 in lowest terms is 1/3.

    See Also