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    GCF (HCF) of 28 and 32

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 28 and 32?

    Answer

    GCF (HCF) of 28 and 32 is
    4

    Common factors: 1, 2, 4

    4 divides both: 28 ÷ 4 = 7, 32 ÷ 4 = 8 — and 7 and 8 share no factor but 1, so no larger number divides both.

    28 = 22 × 7

    32 = 25

    Prime2832Lowest power
    2222522
    77——

    — = 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 28 and 32. The GCF of 28 and 32 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
    28302
    28311
    28324
    28342
    28357
    28364
    28382
    28391
    28404
    284214
    28431
    28444
    28451
    28462
    28484
    28497
    28502
    28511
    28531
    28551
    285628
    28604
    28637
    28644
    287014
    28724
    28804
    288428
    289814
    281057

    FAQ

    What is the Greatest Common Divisor of 28 and 32?

    GCF (HCF) of 28 and 32 is 4

    How to find the GCF of 28 and 32?

    You can find the GCF of 28 and 32 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 28 and 32 is 4.

    What prime factors do 28 and 32 share?

    The prime factorizations of 28 and 32 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 28/32?

    Divide the numerator and the denominator by the GCF 4: 28 ÷ 4 = 7 and 32 ÷ 4 = 8. So 28/32 in lowest terms is 7/8.

    See Also