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    GCF (HCF) of 135 and 225

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 135 and 225?

    Answer

    GCF (HCF) of 135 and 225 is
    45

    Common factors: 1, 3, 5, 9, 15, 45

    45 divides both: 135 ÷ 45 = 3, 225 ÷ 45 = 5 — and 3 and 5 share no factor but 1, so no larger number divides both.

    135 = 33 × 5

    225 = 32 × 52

    Prime135225Lowest power
    3333232
    55525

    GCF = 32 × 5 = 45

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    What is the GCF (HCF) of 135 and 225. The GCF of 135 and 225 is 45 — 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
    13521015
    1352111
    1352121
    1352133
    1352141
    1352155
    13521627
    1352171
    1352181
    1352193
    1352205
    1352211
    1352223
    1352231
    1352241
    13522545
    1352261
    1352271
    1352283
    1352291
    1352305
    1352313
    1352321
    1352331
    1352349
    1352355
    1352361
    1352373
    1352381
    1352391

    FAQ

    What is the Greatest Common Divisor of 135 and 225?

    GCF (HCF) of 135 and 225 is 45

    How to find the GCF of 135 and 225?

    You can find the GCF of 135 and 225 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 135 and 225 is 45.

    What prime factors do 135 and 225 share?

    The prime factorizations of 135 and 225 have 3 × 3 × 5 in common, and multiplying those shared primes gives 45 — exactly the greatest common factor.

    How does the GCF reduce the fraction 135/225?

    Divide the numerator and the denominator by the GCF 45: 135 ÷ 45 = 3 and 225 ÷ 45 = 5. So 135/225 in lowest terms is 3/5.

    See Also