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    GCF (HCF) of 40 and 465

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 40 and 465?

    Answer

    GCF (HCF) of 40 and 465 is
    5

    Common factors: 1, 5

    5 divides both: 40 ÷ 5 = 8, 465 ÷ 5 = 93 — and 8 and 93 share no factor but 1, so no larger number divides both.

    40 = 23 × 5

    465 = 3 × 5 × 31

    Prime40465Lowest power
    223——
    3—3—
    5555
    31—31—

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

    GCF = 5

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    What is the GCF (HCF) of 40 and 465. The GCF of 40 and 465 is 5 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
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    FAQ

    What is the Greatest Common Divisor of 40 and 465?

    GCF (HCF) of 40 and 465 is 5

    How to find the GCF of 40 and 465?

    You can find the GCF of 40 and 465 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 40 and 465 is 5.

    What prime factors do 40 and 465 share?

    The prime factorizations of 40 and 465 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

    How does the GCF reduce the fraction 40/465?

    Divide the numerator and the denominator by the GCF 5: 40 ÷ 5 = 8 and 465 ÷ 5 = 93. So 40/465 in lowest terms is 8/93.