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    GCF (HCF) of 180 and 252

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 180 and 252?

    Answer

    GCF (HCF) of 180 and 252 is
    36

    Common factors: 1, 2, 3, 4, 6, 9, 12, 18, 36

    36 divides both: 180 ÷ 36 = 5, 252 ÷ 36 = 7 — and 5 and 7 share no factor but 1, so no larger number divides both.

    180 = 22 × 32 × 5

    252 = 22 × 32 × 7

    Prime180252Lowest power
    2222222
    3323232
    55——
    7—7—

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

    GCF = 22 × 32 = 36

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    What is the GCF (HCF) of 180 and 252. The GCF of 180 and 252 is 36 — 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
    1802373
    1802382
    1802391
    18024060
    1802411
    1802422
    1802439
    1802444
    1802455
    1802466
    1802471
    1802484
    1802493
    18025010
    1802511
    18025236
    1802531
    1802542
    18025515
    1802564
    1802571
    1802586
    1802591
    18026020
    1802619
    1802622
    1802631
    18026412
    1802655
    1802662

    FAQ

    What is the Greatest Common Divisor of 180 and 252?

    GCF (HCF) of 180 and 252 is 36

    How to find the GCF of 180 and 252?

    You can find the GCF of 180 and 252 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 252 is 36.

    What prime factors do 180 and 252 share?

    The prime factorizations of 180 and 252 have 2 × 2 × 3 × 3 in common, and multiplying those shared primes gives 36 — exactly the greatest common factor.

    How does the GCF reduce the fraction 180/252?

    Divide the numerator and the denominator by the GCF 36: 180 ÷ 36 = 5 and 252 ÷ 36 = 7. So 180/252 in lowest terms is 5/7.

    See Also