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    GCF of 3 and 42 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 3 and 42?

    Answer

    GCF of 3 and 42 is
    3

    (Three)

    Finding GCF for 3 and 42 using all factors (divisors) listing

    The first method to find GCF for numbers 3 and 42 is to list all factors for both numbers and pick the highest common one:

    All factors of 3: 1, 3

    All factors of 42: 1, 2, 3, 6, 7, 14, 21, 42

    So the Greatest Common Factor for 3 and 42 is 3

    Finding GCF for 3 and 42 by Prime Factorization

    The second method to find GCF for numbers 3 and 42 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 3: 3

    All Prime Factors of 42: 2, 3, 7

    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 3 and 42

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    What is the GCF of 3 and 42. The GCF of 3 and 42 is 3 — 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
    3101
    3111
    3123
    3141
    3153
    3161
    3171
    3183
    3191
    3201
    3213
    3243
    3251
    3273
    3281
    3291
    3303
    3351
    3363
    3423
    3453
    3461
    3471
    3483
    3513
    3543
    3551
    3573
    3581
    3591

    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 3 and 42? (The answer is: 3). Select the first number (e.g. '3') and the second number (e.g. '42'). 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 3 and 42?

    GCF of 3 and 42 is 3

    How to find the GCF of 3 and 42?

    You can find the GCF of 3 and 42 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 3 and 42 is 3.

    What prime factors do 3 and 42 share?

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

    How does the GCF reduce the fraction 3/42?

    Divide the numerator and the denominator by the GCF 3: 3 ÷ 3 = 1 and 42 ÷ 3 = 14. So 3/42 in lowest terms is 1/14.

    See Also