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    GCF (HCF) of 1005 and 960

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 1,005 and 960?

    Answer

    GCF (HCF) of 1,005 and 960 is
    15

    Common factors: 1, 3, 5, 15

    15 divides both: 1,005 ÷ 15 = 67; 960 ÷ 15 = 64 — and 67 and 64 share no factor but 1, so no larger number divides both.

    1,005 = 3 × 5 × 67

    960 = 26 × 3 × 5

    Prime1,005960Lowest power
    2—26—
    3333
    5555
    6767——

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

    GCF = 3 × 5 = 15

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    What is the GCF (HCF) of 1005 and 960. The GCF of 1,005 and 960 is 15 — 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
    1,00594515
    1,0059461
    1,0059471
    1,0059483
    1,0059491
    1,0059505
    1,0059513
    1,0059521
    1,0059531
    1,0059543
    1,0059555
    1,0059561
    1,0059573
    1,0059581
    1,0059591
    1,00596015
    1,0059611
    1,0059621
    1,0059633
    1,0059641
    1,0059655
    1,0059663
    1,0059671
    1,0059681
    1,0059693
    1,0059705
    1,0059711
    1,0059723
    1,0059731
    1,0059741

    FAQ

    What is the Greatest Common Divisor of 1,005 and 960?

    GCF (HCF) of 1,005 and 960 is 15

    How to find the GCF of 1,005 and 960?

    You can find the GCF of 1,005 and 960 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 1,005 and 960 is 15.

    What prime factors do 1,005 and 960 share?

    The prime factorizations of 1,005 and 960 have 3 × 5 in common, and multiplying those shared primes gives 15 — exactly the greatest common factor.

    How does the GCF reduce the fraction 1005/960?

    Divide the numerator and the denominator by the GCF 15: 1,005 ÷ 15 = 67 and 960 ÷ 15 = 64. So 1005/960 in lowest terms is 67/64.

    See Also