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    GCF (HCF) of 104 and 130

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 104 and 130?

    Answer

    GCF (HCF) of 104 and 130 is
    26

    Common factors: 1, 2, 13, 26

    26 divides both: 104 ÷ 26 = 4, 130 ÷ 26 = 5 — and 4 and 5 share no factor but 1, so no larger number divides both.

    104 = 23 × 13

    130 = 2 × 5 × 13

    Prime104130Lowest power
    22322
    5—5—
    13131313

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

    GCF = 2 × 13 = 26

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    What is the GCF (HCF) of 104 and 130. The GCF of 104 and 130 is 26 — 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
    1041151
    1041164
    10411713
    1041182
    1041191
    1041208
    1041211
    1041222
    1041231
    1041244
    1041251
    1041262
    1041271
    1041288
    1041291
    10413026
    1041311
    1041324
    1041331
    1041342
    1041351
    1041368
    1041371
    1041382
    1041391
    1041404
    1041411
    1041422
    10414313
    1041448

    FAQ

    What is the Greatest Common Divisor of 104 and 130?

    GCF (HCF) of 104 and 130 is 26

    How to find the GCF of 104 and 130?

    You can find the GCF of 104 and 130 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 104 and 130 is 26.

    What prime factors do 104 and 130 share?

    The prime factorizations of 104 and 130 have 2 × 13 in common, and multiplying those shared primes gives 26 — exactly the greatest common factor.

    How does the GCF reduce the fraction 104/130?

    Divide the numerator and the denominator by the GCF 26: 104 ÷ 26 = 4 and 130 ÷ 26 = 5. So 104/130 in lowest terms is 4/5.

    See Also