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    GCF (HCF) of 25 and 55

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 25 and 55?

    Answer

    GCF (HCF) of 25 and 55 is
    5

    Common factors: 1, 5

    5 divides both: 25 ÷ 5 = 5, 55 ÷ 5 = 11 — and 5 and 11 share no factor but 1, so no larger number divides both.

    25 = 52

    55 = 5 × 11

    Prime2555Lowest power
    55255
    11—11—

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

    GCF = 5

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    What is the GCF (HCF) of 25 and 55. The GCF of 25 and 55 is 5 — 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
    25281
    25305
    25311
    25321
    25331
    25355
    25361
    25391
    25405
    25421
    25441
    25455
    25481
    25491
    255025
    25555
    25561
    25605
    25641
    25655
    25705
    257525
    25805
    25811
    25905
    2510025
    251055
    251211
    2512525
    251441

    FAQ

    What is the Greatest Common Divisor of 25 and 55?

    GCF (HCF) of 25 and 55 is 5

    How to find the GCF of 25 and 55?

    You can find the GCF of 25 and 55 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 25 and 55 is 5.

    What prime factors do 25 and 55 share?

    The prime factorizations of 25 and 55 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

    How does the GCF reduce the fraction 25/55?

    Divide the numerator and the denominator by the GCF 5: 25 ÷ 5 = 5 and 55 ÷ 5 = 11. So 25/55 in lowest terms is 5/11.

    See Also