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    GCF (HCF) of 55 and 60

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 55 and 60?

    Answer

    GCF (HCF) of 55 and 60 is
    5

    Common factors: 1, 5

    5 divides both: 55 ÷ 5 = 11, 60 ÷ 5 = 12 — and 11 and 12 share no factor but 1, so no larger number divides both.

    55 = 5 × 11

    60 = 22 × 3 × 5

    Prime5560Lowest power
    2—22—
    3—3—
    5555
    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 60. The GCF of 55 and 60 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
    55455
    55461
    55471
    55481
    55491
    55505
    55511
    55521
    55531
    55541
    555555
    55561
    55571
    55581
    55591
    55605
    55611
    55621
    55631
    55641
    55655
    556611
    55671
    55681
    55691
    55705
    55711
    55721
    55731
    55741

    FAQ

    What is the Greatest Common Divisor of 55 and 60?

    GCF (HCF) of 55 and 60 is 5

    How to find the GCF of 55 and 60?

    You can find the GCF of 55 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 55 and 60 is 5.

    What prime factors do 55 and 60 share?

    The prime factorizations of 55 and 60 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

    How does the GCF reduce the fraction 55/60?

    Divide the numerator and the denominator by the GCF 5: 55 ÷ 5 = 11 and 60 ÷ 5 = 12. So 55/60 in lowest terms is 11/12.