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    GCF (HCF) of 124 and 152

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 124 and 152?

    Answer

    GCF (HCF) of 124 and 152 is
    4

    Common factors: 1, 2, 4

    4 divides both: 124 ÷ 4 = 31, 152 ÷ 4 = 38 — and 31 and 38 share no factor but 1, so no larger number divides both.

    124 = 22 × 31

    152 = 23 × 19

    Prime124152Lowest power
    2222322
    19—19—
    3131——

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

    GCF = 22 = 4

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    What is the GCF (HCF) of 124 and 152. The GCF of 124 and 152 is 4 — 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
    1241371
    1241382
    1241391
    1241404
    1241411
    1241422
    1241431
    1241444
    1241451
    1241462
    1241471
    1241484
    1241491
    1241502
    1241511
    1241524
    1241531
    1241542
    12415531
    1241564
    1241571
    1241582
    1241591
    1241604
    1241611
    1241622
    1241631
    1241644
    1241651
    1241662

    FAQ

    What is the Greatest Common Divisor of 124 and 152?

    GCF (HCF) of 124 and 152 is 4

    How to find the GCF of 124 and 152?

    You can find the GCF of 124 and 152 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 124 and 152 is 4.

    What prime factors do 124 and 152 share?

    The prime factorizations of 124 and 152 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 124/152?

    Divide the numerator and the denominator by the GCF 4: 124 ÷ 4 = 31 and 152 ÷ 4 = 38. So 124/152 in lowest terms is 31/38.

    See Also