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    GCF of 675 and 825 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 675 and 825?

    Answer

    GCF of 675 and 825 is
    75

    (Seventy-five)

    Finding GCF for 675 and 825 using all factors (divisors) listing

    The first method to find GCF for numbers 675 and 825 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 825: 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

    So the Greatest Common Factor for 675 and 825 is 75

    Finding GCF for 675 and 825 by Prime Factorization

    The second method to find GCF for numbers 675 and 825 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 825: 3, 5, 5, 11

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

    Now we need to multiply them to find GCF: 3 × 5 × 5 = 75

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    What is the GCF of 675 and 825. The GCF of 675 and 825 is 75 — 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
    675810135
    6758111
    6758121
    6758133
    6758141
    6758155
    6758163
    6758171
    6758181
    6758199
    6758205
    6758211
    6758223
    6758231
    6758241
    67582575
    6758261
    6758271
    6758289
    6758291
    6758305
    6758313
    6758321
    6758331
    6758343
    6758355
    6758361
    67583727
    6758381
    6758391

    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 825? (The answer is: 75). Select the first number (e.g. '675') and the second number (e.g. '825'). 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 825?

    GCF of 675 and 825 is 75

    How to find the GCF of 675 and 825?

    You can find the GCF of 675 and 825 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 675 and 825 is 75.

    What prime factors do 675 and 825 share?

    The prime factorizations of 675 and 825 have 3 × 5 × 5 in common, and multiplying those shared primes gives 75 — exactly the greatest common factor.

    How does the GCF reduce the fraction 675/825?

    Divide the numerator and the denominator by the GCF 75: 675 ÷ 75 = 9 and 825 ÷ 75 = 11. So 675/825 in lowest terms is 9/11.

    See Also