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    GCF (HCF) of 84 and 100

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 84 and 100?

    Answer

    GCF (HCF) of 84 and 100 is
    4

    Common factors: 1, 2, 4

    4 divides both: 84 ÷ 4 = 21, 100 ÷ 4 = 25 — and 21 and 25 share no factor but 1, so no larger number divides both.

    84 = 22 × 3 × 7

    100 = 22 × 52

    Prime84100Lowest power
    2222222
    33——
    5—52—
    77——

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

    GCF = 22 = 4

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    What is the GCF (HCF) of 84 and 100. The GCF of 84 and 100 is 4 — 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
    84851
    84862
    84873
    84884
    84891
    84906
    84917
    84924
    84933
    84942
    84951
    849612
    84971
    849814
    84993
    841004
    841011
    841026
    841031
    841044
    8410521
    841062
    841071
    8410812
    841091
    841102
    841113
    8411228
    841131
    841146

    FAQ

    What is the Greatest Common Divisor of 84 and 100?

    GCF (HCF) of 84 and 100 is 4

    How to find the GCF of 84 and 100?

    You can find the GCF of 84 and 100 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 84 and 100 is 4.

    What prime factors do 84 and 100 share?

    The prime factorizations of 84 and 100 have 2 × 2 in common, and multiplying those shared primes gives 4 — exactly the greatest common factor.

    How does the GCF reduce the fraction 84/100?

    Divide the numerator and the denominator by the GCF 4: 84 ÷ 4 = 21 and 100 ÷ 4 = 25. So 84/100 in lowest terms is 21/25.

    See Also