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    GCF (HCF) of 25 and 20

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 25 and 20?

    Answer

    GCF (HCF) of 25 and 20 is
    5

    Common factors: 1, 5

    5 divides both: 25 ÷ 5 = 5, 20 ÷ 5 = 4 — and 5 and 4 share no factor but 1, so no larger number divides both.

    25 = 52

    20 = 22 × 5

    Prime2520Lowest power
    2—22—
    55255

    — = 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 20. The GCF of 25 and 20 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
    25105
    25155
    25205
    25261
    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

    FAQ

    What is the Greatest Common Divisor of 25 and 20?

    GCF (HCF) of 25 and 20 is 5

    How to find the GCF of 25 and 20?

    You can find the GCF of 25 and 20 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 25 and 20 is 5.

    What prime factors do 25 and 20 share?

    The prime factorizations of 25 and 20 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

    How does the GCF reduce the fraction 25/20?

    Divide the numerator and the denominator by the GCF 5: 25 ÷ 5 = 5 and 20 ÷ 5 = 4. So 25/20 in lowest terms is 5/4.

    See Also