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    GCF (HCF) of 174 and 142

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 174 and 142?

    Answer

    GCF (HCF) of 174 and 142 is
    2

    Common factors: 1, 2

    2 divides both: 174 ÷ 2 = 87, 142 ÷ 2 = 71 — and 87 and 71 share no factor but 1, so no larger number divides both.

    174 = 2 × 3 × 29

    142 = 2 × 71

    Prime174142Lowest power
    2222
    33——
    2929——
    71—71—

    — = 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 174 and 142. The GCF of 174 and 142 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
    1741271
    1741282
    1741293
    1741302
    1741311
    1741326
    1741331
    1741342
    1741353
    1741362
    1741371
    1741386
    1741391
    1741402
    1741413
    1741422
    1741431
    1741446
    17414529
    1741462
    1741473
    1741482
    1741491
    1741506
    1741511
    1741522
    1741533
    1741542
    1741551
    1741566

    FAQ

    What is the Greatest Common Divisor of 174 and 142?

    GCF (HCF) of 174 and 142 is 2

    How to find the GCF of 174 and 142?

    You can find the GCF of 174 and 142 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 174 and 142 is 2.

    What prime factors do 174 and 142 share?

    The prime factorizations of 174 and 142 have 2 in common, and multiplying those shared primes gives 2 — exactly the greatest common factor.

    How does the GCF reduce the fraction 174/142?

    Divide the numerator and the denominator by the GCF 2: 174 ÷ 2 = 87 and 142 ÷ 2 = 71. So 174/142 in lowest terms is 87/71.

    See Also