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    GCF (HCF) of 100 and 144

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 100 and 144?

    Answer

    GCF (HCF) of 100 and 144 is
    4

    Common factors: 1, 2, 4

    4 divides both: 100 ÷ 4 = 25, 144 ÷ 4 = 36 — and 25 and 36 share no factor but 1, so no larger number divides both.

    100 = 22 × 52

    144 = 24 × 32

    Prime100144Lowest power
    2222422
    3—32—
    552——

    — = 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 100 and 144. The GCF of 100 and 144 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
    100100100
    1001055
    10011010
    10012020
    1001211
    10012525
    1001355
    10014020
    1001444
    1001455
    10015050
    10016020
    1001655
    10017010
    10018020
    1001855
    10019010
    100200100
    1002055
    10022020
    10023010
    1002355
    10024020
    1002455
    10025050
    10026020
    10027010
    10027525
    10028020
    10029010

    FAQ

    What is the Greatest Common Divisor of 100 and 144?

    GCF (HCF) of 100 and 144 is 4

    How to find the GCF of 100 and 144?

    You can find the GCF of 100 and 144 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 100 and 144 is 4.

    What prime factors do 100 and 144 share?

    The prime factorizations of 100 and 144 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 100/144?

    Divide the numerator and the denominator by the GCF 4: 100 ÷ 4 = 25 and 144 ÷ 4 = 36. So 100/144 in lowest terms is 25/36.

    See Also