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    GCF (HCF) of 84 and 90

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 84 and 90?

    Answer

    GCF (HCF) of 84 and 90 is
    6

    Common factors: 1, 2, 3, 6

    6 divides both: 84 ÷ 6 = 14, 90 ÷ 6 = 15 — and 14 and 15 share no factor but 1, so no larger number divides both.

    84 = 22 × 3 × 7

    90 = 2 × 32 × 5

    Prime8490Lowest power
    22222
    33323
    5—5—
    77——

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

    GCF = 2 × 3 = 6

    More with these numbers

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    What is the GCF (HCF) of 84 and 90. The GCF of 84 and 90 is 6 — 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
    84753
    84764
    84777
    84786
    84791
    84804
    84813
    84822
    84831
    848484
    84851
    84862
    84873
    84884
    84891
    84906
    84917
    84924
    84933
    84942
    84951
    849612
    84971
    849814
    84993
    841004
    841011
    841026
    841031
    841044

    FAQ

    What is the Greatest Common Divisor of 84 and 90?

    GCF (HCF) of 84 and 90 is 6

    How to find the GCF of 84 and 90?

    You can find the GCF of 84 and 90 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 90 is 6.

    What prime factors do 84 and 90 share?

    The prime factorizations of 84 and 90 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

    How does the GCF reduce the fraction 84/90?

    Divide the numerator and the denominator by the GCF 6: 84 ÷ 6 = 14 and 90 ÷ 6 = 15. So 84/90 in lowest terms is 14/15.

    See Also