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    GCF (HCF) of 56 and 72

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 56 and 72?

    Answer

    GCF (HCF) of 56 and 72 is
    8

    Common factors: 1, 2, 4, 8

    8 divides both: 56 ÷ 8 = 7, 72 ÷ 8 = 9 — and 7 and 9 share no factor but 1, so no larger number divides both.

    56 = 23 × 7

    72 = 23 × 32

    Prime5672Lowest power
    2232323
    3—32—
    77——

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

    GCF = 23 = 8

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    What is the GCF (HCF) of 56 and 72. The GCF of 56 and 72 is 8 — 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
    56571
    56582
    56591
    56604
    56611
    56622
    56637
    56648
    56651
    56662
    56671
    56684
    56691
    567014
    56711
    56728
    56731
    56742
    56751
    56764
    56777
    56782
    56791
    56808
    56811
    56822
    56831
    568428
    56851
    56862

    FAQ

    What is the Greatest Common Divisor of 56 and 72?

    GCF (HCF) of 56 and 72 is 8

    How to find the GCF of 56 and 72?

    You can find the GCF of 56 and 72 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 56 and 72 is 8.

    What prime factors do 56 and 72 share?

    The prime factorizations of 56 and 72 have 2 × 2 × 2 in common, and multiplying those shared primes gives 8 — exactly the greatest common factor.

    How does the GCF reduce the fraction 56/72?

    Divide the numerator and the denominator by the GCF 8: 56 ÷ 8 = 7 and 72 ÷ 8 = 9. So 56/72 in lowest terms is 7/9.

    See Also