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    GCF (HCF) of 250 and 130

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 250 and 130?

    Answer

    GCF (HCF) of 250 and 130 is
    10

    Common factors: 1, 2, 5, 10

    10 divides both: 250 ÷ 10 = 25, 130 ÷ 10 = 13 — and 25 and 13 share no factor but 1, so no larger number divides both.

    250 = 2 × 53

    130 = 2 × 5 × 13

    Prime250130Lowest power
    2222
    55355
    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 250 and 130. The GCF of 250 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
    2501155
    2501162
    2501171
    2501182
    2501191
    25012010
    2501211
    2501222
    2501231
    2501242
    250125125
    2501262
    2501271
    2501282
    2501291
    25013010
    2501311
    2501322
    2501331
    2501342
    2501355
    2501362
    2501371
    2501382
    2501391
    25014010
    2501411
    2501422
    2501431
    2501442

    FAQ

    What is the Greatest Common Divisor of 250 and 130?

    GCF (HCF) of 250 and 130 is 10

    How to find the GCF of 250 and 130?

    You can find the GCF of 250 and 130 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 250 and 130 is 10.

    What prime factors do 250 and 130 share?

    The prime factorizations of 250 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 250/130?

    Divide the numerator and the denominator by the GCF 10: 250 ÷ 10 = 25 and 130 ÷ 10 = 13. So 250/130 in lowest terms is 25/13.

    See Also