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    GCF of 30 and 130 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 30 and 130?

    Answer

    GCF of 30 and 130 is
    10

    (Ten)

    Finding GCF for 30 and 130 using all factors (divisors) listing

    The first method to find GCF for numbers 30 and 130 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 130: 1, 2, 5, 10, 13, 26, 65, 130

    So the Greatest Common Factor for 30 and 130 is 10

    Finding GCF for 30 and 130 by Prime Factorization

    The second method to find GCF for numbers 30 and 130 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 130: 2, 5, 13

    As we can see there are Prime Factors common to both numbers: 2, 5

    Now we need to multiply them to find GCF: 2 × 5 = 10

    Related Calculations

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    What is the GCF of 30 and 130. The GCF of 30 and 130 is 10 — 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
    30513
    30522
    30531
    30546
    30555
    30562
    30573
    30582
    306030
    30966
    3010010
    3010515
    3011010
    301155
    3012030
    3013010
    3013515
    3015030
    3016515
    3017010
    3018030
    3019515
    3021030
    3025010
    3029010
    303055
    3033030
    3034010
    3035010
    3036030

    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 130? (The answer is: 10). Select the first number (e.g. '30') and the second number (e.g. '130'). 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 130?

    GCF of 30 and 130 is 10

    How to find the GCF of 30 and 130?

    You can find the GCF of 30 and 130 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 30 and 130 is 10.

    What prime factors do 30 and 130 share?

    The prime factorizations of 30 and 130 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

    How does the GCF reduce the fraction 30/130?

    Divide the numerator and the denominator by the GCF 10: 30 ÷ 10 = 3 and 130 ÷ 10 = 13. So 30/130 in lowest terms is 3/13.

    See Also