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    GCF (HCF) of 108 and 132

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 108 and 132?

    Answer

    GCF (HCF) of 108 and 132 is
    12

    Common factors: 1, 2, 3, 4, 6, 12

    12 divides both: 108 ÷ 12 = 9, 132 ÷ 12 = 11 — and 9 and 11 share no factor but 1, so no larger number divides both.

    108 = 22 × 33

    132 = 22 × 3 × 11

    Prime108132Lowest power
    2222222
    33333
    11—11—

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

    GCF = 22 × 3 = 12

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    What is the GCF (HCF) of 108 and 132. The GCF of 108 and 132 is 12 — 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
    1081179
    1081182
    1081191
    10812012
    1081211
    1081222
    1081233
    1081244
    1081251
    10812618
    1081271
    1081284
    1081293
    1081302
    1081311
    10813212
    1081331
    1081342
    10813527
    1081364
    1081371
    1081386
    1081391
    1081404
    1081413
    1081422
    1081431
    10814436
    1081451
    1081462

    FAQ

    What is the Greatest Common Divisor of 108 and 132?

    GCF (HCF) of 108 and 132 is 12

    How to find the GCF of 108 and 132?

    You can find the GCF of 108 and 132 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 108 and 132 is 12.

    What prime factors do 108 and 132 share?

    The prime factorizations of 108 and 132 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

    How does the GCF reduce the fraction 108/132?

    Divide the numerator and the denominator by the GCF 12: 108 ÷ 12 = 9 and 132 ÷ 12 = 11. So 108/132 in lowest terms is 9/11.

    See Also