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    GCF (HCF) of 105 and 147

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 105 and 147?

    Answer

    GCF (HCF) of 105 and 147 is
    21

    Common factors: 1, 3, 7, 21

    21 divides both: 105 ÷ 21 = 5, 147 ÷ 21 = 7 — and 5 and 7 share no factor but 1, so no larger number divides both.

    105 = 3 × 5 × 7

    147 = 3 × 72

    Prime105147Lowest power
    3333
    55——
    77727

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

    GCF = 3 × 7 = 21

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    What is the GCF (HCF) of 105 and 147. The GCF of 105 and 147 is 21 — 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
    10512015
    10512621
    1051305
    10514035
    10514721
    10515015
    1051547
    10516515
    1051705
    10517535
    10518921
    10519515
    10522515
    10524535
    10577035

    FAQ

    What is the Greatest Common Divisor of 105 and 147?

    GCF (HCF) of 105 and 147 is 21

    How to find the GCF of 105 and 147?

    You can find the GCF of 105 and 147 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 105 and 147 is 21.

    What prime factors do 105 and 147 share?

    The prime factorizations of 105 and 147 have 3 × 7 in common, and multiplying those shared primes gives 21 — exactly the greatest common factor.

    How does the GCF reduce the fraction 105/147?

    Divide the numerator and the denominator by the GCF 21: 105 ÷ 21 = 5 and 147 ÷ 21 = 7. So 105/147 in lowest terms is 5/7.

    See Also