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    GCF of 30 and 48 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 30 and 48?

    Answer

    GCF of 30 and 48 is
    6

    (Six)

    Finding GCF for 30 and 48 using all factors (divisors) listing

    The first method to find GCF for numbers 30 and 48 is to list all factors for both numbers and pick the highest common one:

    All factors of 30: 1, 2, 3, 5, 6, 10, 15, 30

    All factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

    So the Greatest Common Factor for 30 and 48 is 6

    Finding GCF for 30 and 48 by Prime Factorization

    The second method to find GCF for numbers 30 and 48 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 30: 2, 3, 5

    All Prime Factors of 48: 2, 2, 2, 2, 3

    As we can see there are Prime Factors common to both numbers: 2, 3

    Now we need to multiply them to find GCF: 2 × 3 = 6

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    What is the GCF of 30 and 48. The GCF of 30 and 48 is 6 — 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
    30322
    30342
    30355
    30366
    30382
    30393
    304010
    30426
    30431
    30442
    304515
    30471
    30486
    30491
    305010
    30513
    30522
    30531
    30546
    30555
    30562
    30573
    30582
    306030
    30726
    30966
    3010010
    3010515
    3011010
    301155

    About "Greatest Common Factor" Calculator

    This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest Common Divisor of 30 and 48? (The answer is: 6). Select the first number (e.g. '30') and the second number (e.g. '48'). After that hit the 'Calculate' button.
    Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder.
    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    FAQ

    What is the Greatest Common Divisor of 30 and 48?

    GCF of 30 and 48 is 6

    How to find the GCF of 30 and 48?

    You can find the GCF of 30 and 48 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 48 is 6.

    What prime factors do 30 and 48 share?

    The prime factorizations of 30 and 48 have 2 × 3 in common, and multiplying those shared primes gives 6 — exactly the greatest common factor.

    How does the GCF reduce the fraction 30/48?

    Divide the numerator and the denominator by the GCF 6: 30 ÷ 6 = 5 and 48 ÷ 6 = 8. So 30/48 in lowest terms is 5/8.

    See Also