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    GCF of 132 and 220 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 132 and 220?

    Answer

    GCF of 132 and 220 is
    44

    (Forty-four)

    Finding GCF for 132 and 220 using all factors (divisors) listing

    The first method to find GCF for numbers 132 and 220 is to list all factors for both numbers and pick the highest common one:

    All factors of 132: 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

    All factors of 220: 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

    So the Greatest Common Factor for 132 and 220 is 44

    Finding GCF for 132 and 220 by Prime Factorization

    The second method to find GCF for numbers 132 and 220 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 132: 2, 2, 3, 11

    All Prime Factors of 220: 2, 2, 5, 11

    As we can see there are Prime Factors common to both numbers: 2, 2, 11

    Now we need to multiply them to find GCF: 2 × 2 × 11 = 44

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    What is the GCF of 132 and 220. The GCF of 132 and 220 is 44 — 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
    1322051
    1322062
    1322073
    1322084
    13220911
    1322106
    1322111
    1322124
    1322133
    1322142
    1322151
    13221612
    1322171
    1322182
    1322193
    13222044
    1322211
    1322226
    1322231
    1322244
    1322253
    1322262
    1322271
    13222812
    1322291
    1322302
    13223133
    1322324
    1322331
    1322346

    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 132 and 220? (The answer is: 44). Select the first number (e.g. '132') and the second number (e.g. '220'). 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 132 and 220?

    GCF of 132 and 220 is 44

    How to find the GCF of 132 and 220?

    You can find the GCF of 132 and 220 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 132 and 220 is 44.

    What prime factors do 132 and 220 share?

    The prime factorizations of 132 and 220 have 2 × 2 × 11 in common, and multiplying those shared primes gives 44 — exactly the greatest common factor.

    How does the GCF reduce the fraction 132/220?

    Divide the numerator and the denominator by the GCF 44: 132 ÷ 44 = 3 and 220 ÷ 44 = 5. So 132/220 in lowest terms is 3/5.

    See Also