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    GCF (HCF) of 30 and 130

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 30 and 130?

    Answer

    GCF (HCF) of 30 and 130 is
    10

    Common factors: 1, 2, 5, 10

    10 divides both: 30 ÷ 10 = 3, 130 ÷ 10 = 13 — and 3 and 13 share no factor but 1, so no larger number divides both.

    30 = 2 × 3 × 5

    130 = 2 × 5 × 13

    Prime30130Lowest power
    2222
    33——
    5555
    13—13—

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

    GCF = 2 × 5 = 10

    More with these numbers

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    What is the GCF (HCF) of 30 and 130. The GCF of 30 and 130 is 10 — 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
    30531
    30546
    30555
    30562
    30582
    306030
    307010
    307515
    308010
    30966
    3010010
    3010515
    3011010
    301155
    3012030
    3013010
    3013515
    3015030
    3016515
    3017010
    3018030
    3019515
    3021030
    302355
    302382
    3029010
    303055
    3033030
    3034010
    3035010

    FAQ

    What is the Greatest Common Divisor of 30 and 130?

    GCF (HCF) of 30 and 130 is 10

    How to find the GCF of 30 and 130?

    You can find the GCF of 30 and 130 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 130 is 10.

    What prime factors do 30 and 130 share?

    The prime factorizations of 30 and 130 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

    How does the GCF reduce the fraction 30/130?

    Divide the numerator and the denominator by the GCF 10: 30 ÷ 10 = 3 and 130 ÷ 10 = 13. So 30/130 in lowest terms is 3/13.

    See Also