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    GCF of 675 and 945 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 675 and 945?

    Answer

    GCF of 675 and 945 is
    135

    (One hundred thirty-five)

    Finding GCF for 675 and 945 using all factors (divisors) listing

    The first method to find GCF for numbers 675 and 945 is to list all factors for both numbers and pick the highest common one:

    All factors of 675: 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675

    All factors of 945: 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

    So the Greatest Common Factor for 675 and 945 is 135

    Finding GCF for 675 and 945 by Prime Factorization

    The second method to find GCF for numbers 675 and 945 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 675: 3, 3, 3, 5, 5

    All Prime Factors of 945: 3, 3, 3, 5, 7

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

    Now we need to multiply them to find GCF: 3 × 3 × 3 × 5 = 135

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    What is the GCF of 675 and 945. The GCF of 675 and 945 is 135 — 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
    67593015
    6759311
    6759321
    6759333
    6759341
    6759355
    6759369
    6759371
    6759381
    6759393
    6759405
    6759411
    6759423
    6759431
    6759441
    675945135
    6759461
    6759471
    6759483
    6759491
    67595025
    6759513
    6759521
    6759531
    6759549
    6759555
    6759561
    6759573
    6759581
    6759591

    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 675 and 945? (The answer is: 135). Select the first number (e.g. '675') and the second number (e.g. '945'). 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 675 and 945?

    GCF of 675 and 945 is 135

    How to find the GCF of 675 and 945?

    You can find the GCF of 675 and 945 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 675 and 945 is 135.

    What prime factors do 675 and 945 share?

    The prime factorizations of 675 and 945 have 3 × 3 × 3 × 5 in common, and multiplying those shared primes gives 135 — exactly the greatest common factor.

    How does the GCF reduce the fraction 675/945?

    Divide the numerator and the denominator by the GCF 135: 675 ÷ 135 = 5 and 945 ÷ 135 = 7. So 675/945 in lowest terms is 5/7.

    See Also