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    GCF (HCF) of 52 and 64

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 52 and 64?

    Answer

    GCF (HCF) of 52 and 64 is
    4

    Common factors: 1, 2, 4

    4 divides both: 52 ÷ 4 = 13, 64 ÷ 4 = 16 — and 13 and 16 share no factor but 1, so no larger number divides both.

    52 = 22 × 13

    64 = 26

    Prime5264Lowest power
    2222622
    1313——

    — = 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 52 and 64. The GCF of 52 and 64 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
    52491
    52502
    52511
    525252
    52531
    52542
    52551
    52564
    52571
    52582
    52591
    52604
    52611
    52622
    52631
    52644
    526513
    52662
    52671
    52684
    52691
    52702
    52711
    52724
    52731
    52742
    52751
    52764
    52771
    527826

    FAQ

    What is the Greatest Common Divisor of 52 and 64?

    GCF (HCF) of 52 and 64 is 4

    How to find the GCF of 52 and 64?

    You can find the GCF of 52 and 64 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 52 and 64 is 4.

    What prime factors do 52 and 64 share?

    The prime factorizations of 52 and 64 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 52/64?

    Divide the numerator and the denominator by the GCF 4: 52 ÷ 4 = 13 and 64 ÷ 4 = 16. So 52/64 in lowest terms is 13/16.

    See Also