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    GCF (HCF) of 168 and 252

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 168 and 252?

    Answer

    GCF (HCF) of 168 and 252 is
    84

    Common factors: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

    84 divides both: 168 ÷ 84 = 2, 252 ÷ 84 = 3 — and 2 and 3 share no factor but 1, so no larger number divides both.

    168 = 23 × 3 × 7

    252 = 22 × 32 × 7

    Prime168252Lowest power
    2232222
    33323
    7777

    GCF = 22 × 3 × 7 = 84

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    What is the GCF (HCF) of 168 and 252. The GCF of 168 and 252 is 84 — 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
    1682373
    16823814
    1682391
    16824024
    1682411
    1682422
    1682433
    1682444
    1682457
    1682466
    1682471
    1682488
    1682493
    1682502
    1682511
    16825284
    1682531
    1682542
    1682553
    1682568
    1682571
    1682586
    1682597
    1682604
    1682613
    1682622
    1682631
    16826424
    1682651
    16826614

    FAQ

    What is the Greatest Common Divisor of 168 and 252?

    GCF (HCF) of 168 and 252 is 84

    How to find the GCF of 168 and 252?

    You can find the GCF of 168 and 252 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 168 and 252 is 84.

    What prime factors do 168 and 252 share?

    The prime factorizations of 168 and 252 have 2 × 2 × 3 × 7 in common, and multiplying those shared primes gives 84 — exactly the greatest common factor.

    How does the GCF reduce the fraction 168/252?

    Divide the numerator and the denominator by the GCF 84: 168 ÷ 84 = 2 and 252 ÷ 84 = 3. So 168/252 in lowest terms is 2/3.

    See Also