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    GCF (HCF) of 96 and 36

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 96 and 36?

    Answer

    GCF (HCF) of 96 and 36 is
    12

    Common factors: 1, 2, 3, 4, 6, 12

    12 divides both: 96 ÷ 12 = 8, 36 ÷ 12 = 3 — and 8 and 3 share no factor but 1, so no larger number divides both.

    96 = 25 × 3

    36 = 22 × 32

    Prime9636Lowest power
    2252222
    33323

    GCF = 22 × 3 = 12

    See Also

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    What is the GCF (HCF) of 96 and 36. The GCF of 96 and 36 is 12 — 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
    96213
    96222
    96231
    962424
    96251
    96262
    96273
    96284
    96291
    96306
    96311
    963232
    96333
    96342
    96351
    963612
    96371
    96382
    96393
    96408
    96411
    96426
    96431
    96444
    96453
    96462
    96471
    964848
    96491
    96502

    FAQ

    What is the Greatest Common Divisor of 96 and 36?

    GCF (HCF) of 96 and 36 is 12

    How to find the GCF of 96 and 36?

    You can find the GCF of 96 and 36 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 96 and 36 is 12.

    What prime factors do 96 and 36 share?

    The prime factorizations of 96 and 36 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

    How does the GCF reduce the fraction 96/36?

    Divide the numerator and the denominator by the GCF 12: 96 ÷ 12 = 8 and 36 ÷ 12 = 3. So 96/36 in lowest terms is 8/3.