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    GCF (HCF) of 13 and 52

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 13 and 52?

    Answer

    GCF (HCF) of 13 and 52 is
    13

    Common factors: 1, 13

    13 divides 52 (52 ÷ 13 = 4), so the GCF is the smaller number itself.

    13 — prime

    52 = 22 × 13

    Prime1352Lowest power
    2—22—
    13131313

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

    GCF = 13

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    What is the GCF (HCF) of 13 and 52. The GCF of 13 and 52 is 13 — 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
    13211
    13221
    13241
    13251
    132613
    13271
    13291
    13301
    13311
    13321
    13341
    13351
    13361
    13371
    13381
    133913
    13411
    13421
    13451
    13461
    13471
    13481
    13501
    135213
    13541
    13551
    13561
    13581
    13601
    136513

    FAQ

    What is the Greatest Common Divisor of 13 and 52?

    GCF (HCF) of 13 and 52 is 13

    How to find the GCF of 13 and 52?

    You can find the GCF of 13 and 52 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 13 and 52 is 13.

    What prime factors do 13 and 52 share?

    The prime factorizations of 13 and 52 have 13 in common, and multiplying those shared primes gives 13 — exactly the greatest common factor.

    How does the GCF reduce the fraction 13/52?

    Divide the numerator and the denominator by the GCF 13: 13 ÷ 13 = 1 and 52 ÷ 13 = 4. So 13/52 in lowest terms is 1/4.

    See Also