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    GCF of 12 and 15 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 12 and 15?

    Answer

    GCF of 12 and 15 is
    3

    (Three)

    Finding GCF for 12 and 15 using all factors (divisors) listing

    The first method to find GCF for numbers 12 and 15 is to list all factors for both numbers and pick the highest common one:

    All factors of 12: 1, 2, 3, 4, 6, 12

    All factors of 15: 1, 3, 5, 15

    So the Greatest Common Factor for 12 and 15 is 3

    Finding GCF for 12 and 15 by Prime Factorization

    The second method to find GCF for numbers 12 and 15 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 12: 2, 2, 3

    All Prime Factors of 15: 3, 5

    As we can see there is only one Prime Factor common to both numbers. It is 3

    So 3 is the Greatest Common Factor of 12 and 15

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    See Also

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    What is the GCF of 12 and 15. The GCF of 12 and 15 is 3 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
    https://calculat.io/en/number/greatest-common-factor-of/12--15/generated.jpgCopy

    GCF Table

    Number 1Number 2GCF
    1244
    1266
    1271
    1284
    1293
    12102
    12131
    12142
    12153
    12164
    12171
    12186
    12191
    12204
    12213
    12222
    122412
    12251
    12262
    12273
    12284
    12291
    12306
    12324
    12333
    12342
    12351
    123612
    12382
    12393

    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 12 and 15? (The answer is: 3). Select the first number (e.g. '12') and the second number (e.g. '15'). 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 12 and 15?

    GCF of 12 and 15 is 3

    How to find the GCF of 12 and 15?

    You can find the GCF of 12 and 15 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 12 and 15 is 3.

    What prime factors do 12 and 15 share?

    The prime factorizations of 12 and 15 have 3 in common, and multiplying those shared primes gives 3 — exactly the greatest common factor.

    How does the GCF reduce the fraction 12/15?

    Divide the numerator and the denominator by the GCF 3: 12 ÷ 3 = 4 and 15 ÷ 3 = 5. So 12/15 in lowest terms is 4/5.

    See Also