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    GCF (HCF) of 180 and 420

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 180 and 420?

    Answer

    GCF (HCF) of 180 and 420 is
    60

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

    60 divides both: 180 ÷ 60 = 3, 420 ÷ 60 = 7 — and 3 and 7 share no factor but 1, so no larger number divides both.

    180 = 22 × 32 × 5

    420 = 22 × 3 × 5 × 7

    Prime180420Lowest power
    2222222
    33233
    5555
    7—7—

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

    GCF = 22 × 3 × 5 = 60

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    What is the GCF (HCF) of 180 and 420. The GCF of 180 and 420 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
    18040545
    1804062
    1804071
    18040812
    1804091
    18041010
    1804113
    1804124
    1804131
    18041418
    1804155
    1804164
    1804173
    1804182
    1804191
    18042060
    1804211
    1804222
    1804239
    1804244
    1804255
    1804266
    1804271
    1804284
    1804293
    18043010
    1804311
    18043236
    1804331
    1804342

    FAQ

    What is the Greatest Common Divisor of 180 and 420?

    GCF (HCF) of 180 and 420 is 60

    How to find the GCF of 180 and 420?

    You can find the GCF of 180 and 420 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 420 is 60.

    What prime factors do 180 and 420 share?

    The prime factorizations of 180 and 420 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 180/420?

    Divide the numerator and the denominator by the GCF 60: 180 ÷ 60 = 3 and 420 ÷ 60 = 7. So 180/420 in lowest terms is 3/7.

    See Also