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    GCF (HCF) of 31 and 34

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 31 and 34?

    Answer

    GCF (HCF) of 31 and 34 is
    1

    Common factors: 1

    Only 1 divides both: 31 and 34 share no prime factor.

    Such numbers are called coprime (relatively prime); their LCM is just the product: 31 × 34 = 1,054.

    31 — prime

    34 = 2 × 17

    Prime3134Lowest power
    2—2—
    17—17—
    3131——

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

    GCF = 1

    More with these numbers

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    What is the GCF (HCF) of 31 and 34. The GCF of 31 and 34 is 1 — 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
    31191
    31201
    31211
    31221
    31231
    31241
    31251
    31261
    31271
    31281
    31291
    31301
    313131
    31321
    31331
    31341
    31351
    31361
    31371
    31381
    31391
    31401
    31411
    31421
    31431
    31441
    31451
    31461
    31471
    31481

    FAQ

    What is the Greatest Common Divisor of 31 and 34?

    GCF (HCF) of 31 and 34 is 1

    How to find the GCF of 31 and 34?

    You can find the GCF of 31 and 34 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 31 and 34 is 1.

    What prime factors do 31 and 34 share?

    31 and 34 have no prime factor in common, so the only integer that divides both of them is 1 and their GCF is 1.

    How does the GCF reduce the fraction 31/34?

    Divide the numerator and the denominator by the GCF 1: 31 ÷ 1 = 31 and 34 ÷ 1 = 34. So 31/34 in lowest terms is 31/34.

    Are 31 and 34 coprime?

    Yes, 31 and 34 are coprime (relatively prime) because their Greatest Common Factor is 1.

    See Also