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    GCF (HCF) of 150 and 275

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 150 and 275?

    Answer

    GCF (HCF) of 150 and 275 is
    25

    Common factors: 1, 5, 25

    25 divides both: 150 ÷ 25 = 6, 275 ÷ 25 = 11 — and 6 and 11 share no factor but 1, so no larger number divides both.

    150 = 2 × 3 × 52

    275 = 52 × 11

    Prime150275Lowest power
    22——
    33——
    5525252
    11—11—

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

    GCF = 52 = 25

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    What is the GCF (HCF) of 150 and 275. The GCF of 150 and 275 is 25 — 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
    15026010
    1502613
    1502622
    1502631
    1502646
    1502655
    1502662
    1502673
    1502682
    1502691
    15027030
    1502711
    1502722
    1502733
    1502742
    15027525
    1502766
    1502771
    1502782
    1502793
    15028010
    1502811
    1502826
    1502831
    1502842
    15028515
    1502862
    1502871
    1502886
    1502891

    FAQ

    What is the Greatest Common Divisor of 150 and 275?

    GCF (HCF) of 150 and 275 is 25

    How to find the GCF of 150 and 275?

    You can find the GCF of 150 and 275 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 150 and 275 is 25.

    What prime factors do 150 and 275 share?

    The prime factorizations of 150 and 275 have 5 × 5 in common, and multiplying those shared primes gives 25 — exactly the greatest common factor.

    How does the GCF reduce the fraction 150/275?

    Divide the numerator and the denominator by the GCF 25: 150 ÷ 25 = 6 and 275 ÷ 25 = 11. So 150/275 in lowest terms is 6/11.

    See Also