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    GCF (HCF) of 126 and 168

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 126 and 168?

    Answer

    GCF (HCF) of 126 and 168 is
    42

    Common factors: 1, 2, 3, 6, 7, 14, 21, 42

    42 divides both: 126 ÷ 42 = 3, 168 ÷ 42 = 4 — and 3 and 4 share no factor but 1, so no larger number divides both.

    126 = 2 × 32 × 7

    168 = 23 × 3 × 7

    Prime126168Lowest power
    22232
    33233
    7777

    GCF = 2 × 3 × 7 = 42

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    What is the GCF (HCF) of 126 and 168. The GCF of 126 and 168 is 42 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
    https://calculat.io/en/number/greatest-common-factor-of/126--168/generated.jpgCopy

    GCF Table

    Number 1Number 2GCF
    1261539
    12615414
    1261551
    1261566
    1261571
    1261582
    1261593
    1261602
    1261617
    12616218
    1261631
    1261642
    1261653
    1261662
    1261671
    12616842
    1261691
    1261702
    1261719
    1261722
    1261731
    1261746
    1261757
    1261762
    1261773
    1261782
    1261791
    12618018
    1261811
    12618214

    FAQ

    What is the Greatest Common Divisor of 126 and 168?

    GCF (HCF) of 126 and 168 is 42

    How to find the GCF of 126 and 168?

    You can find the GCF of 126 and 168 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 126 and 168 is 42.

    What prime factors do 126 and 168 share?

    The prime factorizations of 126 and 168 have 2 × 3 × 7 in common, and multiplying those shared primes gives 42 — exactly the greatest common factor.

    How does the GCF reduce the fraction 126/168?

    Divide the numerator and the denominator by the GCF 42: 126 ÷ 42 = 3 and 168 ÷ 42 = 4. So 126/168 in lowest terms is 3/4.

    See Also