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    GCF (HCF) of 8 and 1000

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 8 and 1,000?

    Answer

    GCF (HCF) of 8 and 1,000 is
    8

    Common factors: 1, 2, 4, 8

    8 divides 1,000 (1,000 ÷ 8 = 125), so the GCF is the smaller number itself.

    8 = 23

    1,000 = 23 × 53

    Prime81,000Lowest power
    2232323
    5—53—

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

    GCF = 23 = 8

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    What is the GCF (HCF) of 8 and 1000. The GCF of 8 and 1,000 is 8 — 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
    8271
    8284
    8291
    8302
    8328
    8331
    8351
    8364
    8408
    8422
    8431
    8444
    8451
    8488
    8491
    8502
    8524
    8531
    8568
    8591
    8604
    8631
    8648
    8728
    8808
    8902
    8968
    81004
    81208
    81,0008

    FAQ

    What is the Greatest Common Divisor of 8 and 1,000?

    GCF (HCF) of 8 and 1,000 is 8

    How to find the GCF of 8 and 1,000?

    You can find the GCF of 8 and 1,000 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 8 and 1,000 is 8.

    What prime factors do 8 and 1,000 share?

    The prime factorizations of 8 and 1,000 have 2 × 2 × 2 in common, and multiplying those shared primes gives 8 — exactly the greatest common factor.

    How does the GCF reduce the fraction 8/1000?

    Divide the numerator and the denominator by the GCF 8: 8 ÷ 8 = 1 and 1,000 ÷ 8 = 125. So 8/1000 in lowest terms is 1/125.

    See Also