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    GCF (HCF) of 144 and 1000

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 144 and 1,000?

    Answer

    GCF (HCF) of 144 and 1,000 is
    8

    Common factors: 1, 2, 4, 8

    8 divides both: 144 ÷ 8 = 18; 1,000 ÷ 8 = 125 — and 18 and 125 share no factor but 1, so no larger number divides both.

    144 = 24 × 32

    1,000 = 23 × 53

    Prime1441,000Lowest power
    2242323
    332——
    5—53—

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

    GCF = 23 = 8

    More with these numbers

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    What is the GCF (HCF) of 144 and 1000. The GCF of 144 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
    1449851
    1449862
    1449873
    1449884
    1449891
    14499018
    1449911
    14499216
    1449933
    1449942
    1449951
    14499612
    1449971
    1449982
    1449999
    1441,0008
    1441,0011
    1441,0026
    1441,0031
    1441,0044
    1441,0053
    1441,0062
    1441,0071
    1441,008144
    1441,0091
    1441,0102
    1441,0113
    1441,0124
    1441,0131
    1441,0146

    FAQ

    What is the Greatest Common Divisor of 144 and 1,000?

    GCF (HCF) of 144 and 1,000 is 8

    How to find the GCF of 144 and 1,000?

    You can find the GCF of 144 and 1,000 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 144 and 1,000 is 8.

    What prime factors do 144 and 1,000 share?

    The prime factorizations of 144 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 144/1000?

    Divide the numerator and the denominator by the GCF 8: 144 ÷ 8 = 18 and 1,000 ÷ 8 = 125. So 144/1000 in lowest terms is 18/125.

    See Also