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    GCF of 270 and 360 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 270 and 360?

    Answer

    GCF of 270 and 360 is
    90

    (Ninety)

    Finding GCF for 270 and 360 using all factors (divisors) listing

    The first method to find GCF for numbers 270 and 360 is to list all factors for both numbers and pick the highest common one:

    All factors of 270: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

    All factors of 360: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

    So the Greatest Common Factor for 270 and 360 is 90

    Finding GCF for 270 and 360 by Prime Factorization

    The second method to find GCF for numbers 270 and 360 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 270: 2, 3, 3, 3, 5

    All Prime Factors of 360: 2, 2, 2, 3, 3, 5

    As we can see there are Prime Factors common to both numbers: 2, 3, 3, 5

    Now we need to multiply them to find GCF: 2 × 3 × 3 × 5 = 90

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    What is the GCF of 270 and 360. The GCF of 270 and 360 is 90 — 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
    27034515
    2703462
    2703471
    2703486
    2703491
    27035010
    27035127
    2703522
    2703531
    2703546
    2703555
    2703562
    2703573
    2703582
    2703591
    27036090
    2703611
    2703622
    2703633
    2703642
    2703655
    2703666
    2703671
    2703682
    2703699
    27037010
    2703711
    2703726
    2703731
    2703742

    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 270 and 360? (The answer is: 90). Select the first number (e.g. '270') and the second number (e.g. '360'). 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 270 and 360?

    GCF of 270 and 360 is 90

    How to find the GCF of 270 and 360?

    You can find the GCF of 270 and 360 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 270 and 360 is 90.

    What prime factors do 270 and 360 share?

    The prime factorizations of 270 and 360 have 2 × 3 × 3 × 5 in common, and multiplying those shared primes gives 90 — exactly the greatest common factor.

    How does the GCF reduce the fraction 270/360?

    Divide the numerator and the denominator by the GCF 90: 270 ÷ 90 = 3 and 360 ÷ 90 = 4. So 270/360 in lowest terms is 3/4.

    See Also