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    GCF (HCF) of 55 and 75

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 55 and 75?

    Answer

    GCF (HCF) of 55 and 75 is
    5

    Common factors: 1, 5

    5 divides both: 55 ÷ 5 = 11, 75 ÷ 5 = 15 — and 11 and 15 share no factor but 1, so no larger number divides both.

    55 = 5 × 11

    75 = 3 × 52

    Prime5575Lowest power
    3—3—
    55525
    1111——

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

    GCF = 5

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    What is the GCF (HCF) of 55 and 75. The GCF of 55 and 75 is 5 — 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
    55605
    55611
    55621
    55631
    55641
    55655
    556611
    55671
    55681
    55691
    55705
    55711
    55721
    55731
    55741
    55755
    55761
    557711
    55781
    55791
    55805
    55811
    55821
    55831
    55841
    55855
    55861
    55871
    558811
    55891

    FAQ

    What is the Greatest Common Divisor of 55 and 75?

    GCF (HCF) of 55 and 75 is 5

    How to find the GCF of 55 and 75?

    You can find the GCF of 55 and 75 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 55 and 75 is 5.

    What prime factors do 55 and 75 share?

    The prime factorizations of 55 and 75 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

    How does the GCF reduce the fraction 55/75?

    Divide the numerator and the denominator by the GCF 5: 55 ÷ 5 = 11 and 75 ÷ 5 = 15. So 55/75 in lowest terms is 11/15.