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    GCF (HCF) of 180 and 240

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 180 and 240?

    Answer

    GCF (HCF) of 180 and 240 is
    60

    Common factors: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

    60 divides both: 180 ÷ 60 = 3, 240 ÷ 60 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

    180 = 22 × 32 × 5

    240 = 24 × 3 × 5

    Prime180240Lowest power
    2222422
    33233
    5555

    GCF = 22 × 3 × 5 = 60

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    What is the GCF (HCF) of 180 and 240. The GCF of 180 and 240 is 60 — 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
    18022545
    1802262
    1802271
    18022812
    1802291
    18023010
    1802313
    1802324
    1802331
    18023418
    1802355
    1802364
    1802373
    1802382
    1802391
    18024060
    1802411
    1802422
    1802439
    1802444
    1802455
    1802466
    1802471
    1802484
    1802493
    18025010
    1802511
    18025236
    1802531
    1802542

    FAQ

    What is the Greatest Common Divisor of 180 and 240?

    GCF (HCF) of 180 and 240 is 60

    How to find the GCF of 180 and 240?

    You can find the GCF of 180 and 240 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 240 is 60.

    What prime factors do 180 and 240 share?

    The prime factorizations of 180 and 240 have 2 × 2 × 3 × 5 in common, and multiplying those shared primes gives 60 — exactly the greatest common factor.

    How does the GCF reduce the fraction 180/240?

    Divide the numerator and the denominator by the GCF 60: 180 ÷ 60 = 3 and 240 ÷ 60 = 4. So 180/240 in lowest terms is 3/4.

    See Also