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    GCF of 210 and 252 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 210 and 252?

    Answer

    GCF of 210 and 252 is
    42

    (Forty-two)

    Finding GCF for 210 and 252 using all factors (divisors) listing

    The first method to find GCF for numbers 210 and 252 is to list all factors for both numbers and pick the highest common one:

    All factors of 210: 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

    All factors of 252: 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

    So the Greatest Common Factor for 210 and 252 is 42

    Finding GCF for 210 and 252 by Prime Factorization

    The second method to find GCF for numbers 210 and 252 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 210: 2, 3, 5, 7

    All Prime Factors of 252: 2, 2, 3, 3, 7

    As we can see there are Prime Factors common to both numbers: 2, 3, 7

    Now we need to multiply them to find GCF: 2 × 3 × 7 = 42

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    See Also

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    What is the GCF of 210 and 252. The GCF of 210 and 252 is 42 — 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
    2102373
    21023814
    2102391
    21024030
    2102411
    2102422
    2102433
    2102442
    21024535
    2102466
    2102471
    2102482
    2102493
    21025010
    2102511
    21025242
    2102531
    2102542
    21025515
    2102562
    2102571
    2102586
    2102597
    21026010
    2102613
    2102622
    2102631
    2102646
    2102655
    21026614

    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 210 and 252? (The answer is: 42). Select the first number (e.g. '210') and the second number (e.g. '252'). 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 210 and 252?

    GCF of 210 and 252 is 42

    How to find the GCF of 210 and 252?

    You can find the GCF of 210 and 252 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 210 and 252 is 42.

    What prime factors do 210 and 252 share?

    The prime factorizations of 210 and 252 have 2 × 3 × 7 in common, and multiplying those shared primes gives 42 — exactly the greatest common factor.

    How does the GCF reduce the fraction 210/252?

    Divide the numerator and the denominator by the GCF 42: 210 ÷ 42 = 5 and 252 ÷ 42 = 6. So 210/252 in lowest terms is 5/6.

    See Also