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    GCF (HCF) of 150 and 225

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 150 and 225?

    Answer

    GCF (HCF) of 150 and 225 is
    75

    Common factors: 1, 3, 5, 15, 25, 75

    75 divides both: 150 ÷ 75 = 2, 225 ÷ 75 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

    150 = 2 × 3 × 52

    225 = 32 × 52

    Prime150225Lowest power
    22——
    33323
    5525252

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

    GCF = 3 × 52 = 75

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    What is the GCF (HCF) of 150 and 225. The GCF of 150 and 225 is 75 — 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
    15021030
    1502111
    1502122
    1502133
    1502142
    1502155
    1502166
    1502171
    1502182
    1502193
    15022010
    1502211
    1502226
    1502231
    1502242
    15022575
    1502262
    1502271
    1502286
    1502291
    15023010
    1502313
    1502322
    1502331
    1502346
    1502355
    1502362
    1502373
    1502382
    1502391

    FAQ

    What is the Greatest Common Divisor of 150 and 225?

    GCF (HCF) of 150 and 225 is 75

    How to find the GCF of 150 and 225?

    You can find the GCF of 150 and 225 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 150 and 225 is 75.

    What prime factors do 150 and 225 share?

    The prime factorizations of 150 and 225 have 3 × 5 × 5 in common, and multiplying those shared primes gives 75 — exactly the greatest common factor.

    How does the GCF reduce the fraction 150/225?

    Divide the numerator and the denominator by the GCF 75: 150 ÷ 75 = 2 and 225 ÷ 75 = 3. So 150/225 in lowest terms is 2/3.

    See Also