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    GCF (HCF) of 56 and 60

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 56 and 60?

    Answer

    GCF (HCF) of 56 and 60 is
    4

    Common factors: 1, 2, 4

    4 divides both: 56 ÷ 4 = 14, 60 ÷ 4 = 15 — and 14 and 15 share no factor but 1, so no larger number divides both.

    56 = 23 × 7

    60 = 22 × 3 × 5

    Prime5660Lowest power
    2232222
    3—3—
    5—5—
    77——

    — = 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 56 and 60. The GCF of 56 and 60 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
    56451
    56462
    56471
    56488
    56497
    56502
    56511
    56524
    56531
    56542
    56551
    565656
    56571
    56582
    56591
    56604
    56611
    56622
    56637
    56648
    56651
    56662
    56671
    56684
    56691
    567014
    56711
    56728
    56731
    56742

    FAQ

    What is the Greatest Common Divisor of 56 and 60?

    GCF (HCF) of 56 and 60 is 4

    How to find the GCF of 56 and 60?

    You can find the GCF of 56 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 56 and 60 is 4.

    What prime factors do 56 and 60 share?

    The prime factorizations of 56 and 60 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 56/60?

    Divide the numerator and the denominator by the GCF 4: 56 ÷ 4 = 14 and 60 ÷ 4 = 15. So 56/60 in lowest terms is 14/15.

    See Also