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    GCF (HCF) of 64 and 144

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 64 and 144?

    Answer

    GCF (HCF) of 64 and 144 is
    16

    Common factors: 1, 2, 4, 8, 16

    16 divides both: 64 ÷ 16 = 4, 144 ÷ 16 = 9 — and 4 and 9 share no factor but 1, so no larger number divides both.

    64 = 26

    144 = 24 × 32

    Prime64144Lowest power
    2262424
    3—32—

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

    GCF = 24 = 16

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    What is the GCF (HCF) of 64 and 144. The GCF of 64 and 144 is 16 — 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
    641291
    641302
    641311
    641324
    641331
    641342
    641351
    641368
    641371
    641382
    641391
    641404
    641411
    641422
    641431
    6414416
    641451
    641462
    641471
    641484
    641491
    641502
    641511
    641528
    641531
    641542
    641551
    641564
    641571
    641582

    FAQ

    What is the Greatest Common Divisor of 64 and 144?

    GCF (HCF) of 64 and 144 is 16

    How to find the GCF of 64 and 144?

    You can find the GCF of 64 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 64 and 144 is 16.

    What prime factors do 64 and 144 share?

    The prime factorizations of 64 and 144 have 2 × 2 × 2 × 2 in common, and multiplying those shared primes gives 16 — exactly the greatest common factor.

    How does the GCF reduce the fraction 64/144?

    Divide the numerator and the denominator by the GCF 16: 64 ÷ 16 = 4 and 144 ÷ 16 = 9. So 64/144 in lowest terms is 4/9.

    See Also