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    GCF (HCF) of 9 and 45

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 9 and 45?

    Answer

    GCF (HCF) of 9 and 45 is
    9

    Common factors: 1, 3, 9

    9 divides 45 (45 ÷ 9 = 5), so the GCF is the smaller number itself.

    9 = 32

    45 = 32 × 5

    Prime945Lowest power
    3323232
    5—5—

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

    GCF = 32 = 9

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    What is the GCF (HCF) of 9 and 45. The GCF of 9 and 45 is 9 — 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
    9171
    9189
    9191
    9201
    9213
    9221
    9243
    9251
    9261
    9279
    9281
    9291
    9303
    9341
    9351
    9369
    9393
    9401
    9423
    9459
    9461
    9483
    9491
    9501
    9549
    9561
    9639
    9641
    91001
    91211

    FAQ

    What is the Greatest Common Divisor of 9 and 45?

    GCF (HCF) of 9 and 45 is 9

    How to find the GCF of 9 and 45?

    You can find the GCF of 9 and 45 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 9 and 45 is 9.

    What prime factors do 9 and 45 share?

    The prime factorizations of 9 and 45 have 3 × 3 in common, and multiplying those shared primes gives 9 — exactly the greatest common factor.

    How does the GCF reduce the fraction 9/45?

    Divide the numerator and the denominator by the GCF 9: 9 ÷ 9 = 1 and 45 ÷ 9 = 5. So 9/45 in lowest terms is 1/5.

    See Also