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    GCF (HCF) of 108 and 48

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 108 and 48?

    Answer

    GCF (HCF) of 108 and 48 is
    12

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

    12 divides both: 108 ÷ 12 = 9, 48 ÷ 12 = 4 — and 9 and 4 share no factor but 1, so no larger number divides both.

    108 = 22 × 33

    48 = 24 × 3

    Prime10848Lowest power
    2222422
    33333

    GCF = 22 × 3 = 12

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    What is the GCF (HCF) of 108 and 48. The GCF of 108 and 48 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
    108333
    108342
    108351
    1083636
    108371
    108382
    108393
    108404
    108411
    108426
    108431
    108444
    108459
    108462
    108471
    1084812
    108491
    108502
    108513
    108524
    108531
    1085454
    108551
    108564
    108573
    108582
    108591
    1086012
    108611
    108622

    FAQ

    What is the Greatest Common Divisor of 108 and 48?

    GCF (HCF) of 108 and 48 is 12

    How to find the GCF of 108 and 48?

    You can find the GCF of 108 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 108 and 48 is 12.

    What prime factors do 108 and 48 share?

    The prime factorizations of 108 and 48 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 108/48?

    Divide the numerator and the denominator by the GCF 12: 108 ÷ 12 = 9 and 48 ÷ 12 = 4. So 108/48 in lowest terms is 9/4.