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    GCF (HCF) of 24 and 32

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 24 and 32?

    Answer

    GCF (HCF) of 24 and 32 is
    8

    Common factors: 1, 2, 4, 8

    8 divides both: 24 ÷ 8 = 3, 32 ÷ 8 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

    24 = 23 × 3

    32 = 25

    Prime2432Lowest power
    2232523
    33——

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

    GCF = 23 = 8

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    What is the GCF (HCF) of 24 and 32. The GCF of 24 and 32 is 8 — 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
    2493
    24168
    24186
    24251
    24262
    24273
    24284
    24306
    24328
    24333
    24342
    24351
    243612
    24371
    24382
    24393
    24408
    24411
    24426
    24431
    24444
    24453
    24462
    244824
    24502
    24524
    24531
    24546
    24568
    246012

    FAQ

    What is the Greatest Common Divisor of 24 and 32?

    GCF (HCF) of 24 and 32 is 8

    How to find the GCF of 24 and 32?

    You can find the GCF of 24 and 32 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 24 and 32 is 8.

    What prime factors do 24 and 32 share?

    The prime factorizations of 24 and 32 have 2 × 2 × 2 in common, and multiplying those shared primes gives 8 — exactly the greatest common factor.

    How does the GCF reduce the fraction 24/32?

    Divide the numerator and the denominator by the GCF 8: 24 ÷ 8 = 3 and 32 ÷ 8 = 4. So 24/32 in lowest terms is 3/4.

    See Also