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    GCF (HCF) of 85 and 100

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 85 and 100?

    Answer

    GCF (HCF) of 85 and 100 is
    5

    Common factors: 1, 5

    5 divides both: 85 ÷ 5 = 17, 100 ÷ 5 = 20 — and 17 and 20 share no factor but 1, so no larger number divides both.

    85 = 5 × 17

    100 = 22 × 52

    Prime85100Lowest power
    2—22—
    55525
    1717——

    — = 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 85 and 100. The GCF of 85 and 100 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
    858585
    85861
    85871
    85881
    85891
    85905
    85911
    85921
    85931
    85941
    85955
    85961
    85971
    85981
    85991
    851005
    851011
    8510217
    851031
    851041
    851055
    851061
    851071
    851081
    851091
    851105
    851111
    851121
    851131
    851141

    FAQ

    What is the Greatest Common Divisor of 85 and 100?

    GCF (HCF) of 85 and 100 is 5

    How to find the GCF of 85 and 100?

    You can find the GCF of 85 and 100 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 85 and 100 is 5.

    What prime factors do 85 and 100 share?

    The prime factorizations of 85 and 100 have 5 in common, and multiplying those shared primes gives 5 — exactly the greatest common factor.

    How does the GCF reduce the fraction 85/100?

    Divide the numerator and the denominator by the GCF 5: 85 ÷ 5 = 17 and 100 ÷ 5 = 20. So 85/100 in lowest terms is 17/20.

    See Also