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    GCF (HCF) of 924 and 396

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 924 and 396?

    Answer

    GCF (HCF) of 924 and 396 is
    132

    Common factors: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

    132 divides both: 924 ÷ 132 = 7, 396 ÷ 132 = 3 — and 7 and 3 share no factor but 1, so no larger number divides both.

    924 = 22 × 3 × 7 × 11

    396 = 22 × 32 × 11

    Prime924396Lowest power
    2222222
    33323
    77——
    11111111

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

    GCF = 22 × 3 × 11 = 132

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    What is the GCF (HCF) of 924 and 396. The GCF of 924 and 396 is 132 — 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
    9243813
    9243822
    9243831
    92438412
    92438577
    9243862
    9243873
    9243884
    9243891
    9243906
    9243911
    92439228
    9243933
    9243942
    9243951
    924396132
    9243971
    9243982
    92439921
    9244004
    9244011
    9244026
    9244031
    9244044
    9244053
    92440614
    92440711
    92440812
    9244091
    9244102

    FAQ

    What is the Greatest Common Divisor of 924 and 396?

    GCF (HCF) of 924 and 396 is 132

    How to find the GCF of 924 and 396?

    You can find the GCF of 924 and 396 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 924 and 396 is 132.

    What prime factors do 924 and 396 share?

    The prime factorizations of 924 and 396 have 2 × 2 × 3 × 11 in common, and multiplying those shared primes gives 132 — exactly the greatest common factor.

    How does the GCF reduce the fraction 924/396?

    Divide the numerator and the denominator by the GCF 132: 924 ÷ 132 = 7 and 396 ÷ 132 = 3. So 924/396 in lowest terms is 7/3.

    See Also