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    GCF (HCF) of 8 and 32

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 8 and 32?

    Answer

    GCF (HCF) of 8 and 32 is
    8

    Common factors: 1, 2, 4, 8

    8 divides 32 (32 ÷ 8 = 4), so the GCF is the smaller number itself.

    8 = 23

    32 = 25

    Prime832Lowest power
    2232523

    GCF = 23 = 8

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    What is the GCF (HCF) of 8 and 32. The GCF of 8 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
    8142
    8151
    8168
    8171
    8182
    8191
    8204
    8211
    8248
    8251
    8262
    8271
    8284
    8291
    8302
    8328
    8331
    8351
    8364
    8408
    8422
    8431
    8444
    8451
    8488
    8491
    8502
    8524
    8531
    8568

    FAQ

    What is the Greatest Common Divisor of 8 and 32?

    GCF (HCF) of 8 and 32 is 8

    How to find the GCF of 8 and 32?

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

    What prime factors do 8 and 32 share?

    The prime factorizations of 8 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 8/32?

    Divide the numerator and the denominator by the GCF 8: 8 ÷ 8 = 1 and 32 ÷ 8 = 4. So 8/32 in lowest terms is 1/4.

    See Also