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    GCF (HCF) of 52 and 84

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 52 and 84?

    Answer

    GCF (HCF) of 52 and 84 is
    4

    Common factors: 1, 2, 4

    4 divides both: 52 ÷ 4 = 13, 84 ÷ 4 = 21 — and 13 and 21 share no factor but 1, so no larger number divides both.

    52 = 22 × 13

    84 = 22 × 3 × 7

    Prime5284Lowest power
    2222222
    3—3—
    7—7—
    1313——

    — = 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 52 and 84. The GCF of 52 and 84 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
    52691
    52702
    52711
    52724
    52731
    52742
    52751
    52764
    52771
    527826
    52791
    52804
    52811
    52822
    52831
    52844
    52851
    52862
    52871
    52884
    52891
    52902
    529113
    52924
    52931
    52942
    52951
    52964
    52971
    52982

    FAQ

    What is the Greatest Common Divisor of 52 and 84?

    GCF (HCF) of 52 and 84 is 4

    How to find the GCF of 52 and 84?

    You can find the GCF of 52 and 84 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 52 and 84 is 4.

    What prime factors do 52 and 84 share?

    The prime factorizations of 52 and 84 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 52/84?

    Divide the numerator and the denominator by the GCF 4: 52 ÷ 4 = 13 and 84 ÷ 4 = 21. So 52/84 in lowest terms is 13/21.

    See Also