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    GCF (HCF) of 132 and 242

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 132 and 242?

    Answer

    GCF (HCF) of 132 and 242 is
    22

    Common factors: 1, 2, 11, 22

    22 divides both: 132 ÷ 22 = 6, 242 ÷ 22 = 11 — and 6 and 11 share no factor but 1, so no larger number divides both.

    132 = 22 × 3 × 11

    242 = 2 × 112

    Prime132242Lowest power
    22222
    33——
    111111211

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

    GCF = 2 × 11 = 22

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    What is the GCF (HCF) of 132 and 242. The GCF of 132 and 242 is 22 — 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
    1322271
    13222812
    1322291
    1322302
    13223133
    1322324
    1322331
    1322346
    1322351
    1322364
    1322373
    1322382
    1322391
    13224012
    1322411
    13224222
    1322433
    1322444
    1322451
    1322466
    1322471
    1322484
    1322493
    1322502
    1322511
    13225212
    13225311
    1322542
    1322553
    1322564

    FAQ

    What is the Greatest Common Divisor of 132 and 242?

    GCF (HCF) of 132 and 242 is 22

    How to find the GCF of 132 and 242?

    You can find the GCF of 132 and 242 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 132 and 242 is 22.

    What prime factors do 132 and 242 share?

    The prime factorizations of 132 and 242 have 2 × 11 in common, and multiplying those shared primes gives 22 — exactly the greatest common factor.

    How does the GCF reduce the fraction 132/242?

    Divide the numerator and the denominator by the GCF 22: 132 ÷ 22 = 6 and 242 ÷ 22 = 11. So 132/242 in lowest terms is 6/11.