Feedback form
Hi! What do you think?

Drag it here or paste with Ctrl+V

    You can also email us on infocalculat.io

    GCF of 108 and 132 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 108 and 132?

    Answer

    GCF of 108 and 132 is
    12

    (Twelve)

    Finding GCF for 108 and 132 using all factors (divisors) listing

    The first method to find GCF for numbers 108 and 132 is to list all factors for both numbers and pick the highest common one:

    All factors of 108: 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

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

    So the Greatest Common Factor for 108 and 132 is 12

    Finding GCF for 108 and 132 by Prime Factorization

    The second method to find GCF for numbers 108 and 132 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 108: 2, 2, 3, 3, 3

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

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

    Now we need to multiply them to find GCF: 2 × 2 × 3 = 12

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/greatest-common-factor-of/108--132Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of/108--132">What is the GCF of 108 and 132 - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the GCF of 108 and 132. The GCF of 108 and 132 is 12 — the biggest number that can divide both integers. Step-by-step GCF (GCD) calculation by factoring.
    https://calculat.io/en/number/greatest-common-factor-of/108--132/generated.jpgCopy

    GCF Table

    Number 1Number 2GCF
    1081179
    1081182
    1081191
    10812012
    1081211
    1081222
    1081233
    1081244
    1081251
    10812618
    1081271
    1081284
    1081293
    1081302
    1081311
    10813212
    1081331
    1081342
    10813527
    1081364
    1081371
    1081386
    1081391
    1081404
    1081413
    1081422
    1081431
    10814436
    1081451
    1081462

    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 108 and 132? (The answer is: 12). Select the first number (e.g. '108') and the second number (e.g. '132'). 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 108 and 132?

    GCF of 108 and 132 is 12

    How to find the GCF of 108 and 132?

    You can find the GCF of 108 and 132 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 108 and 132 is 12.

    What prime factors do 108 and 132 share?

    The prime factorizations of 108 and 132 have 2 × 2 × 3 in common, and multiplying those shared primes gives 12 — exactly the greatest common factor.

    How does the GCF reduce the fraction 108/132?

    Divide the numerator and the denominator by the GCF 12: 108 ÷ 12 = 9 and 132 ÷ 12 = 11. So 108/132 in lowest terms is 9/11.

    See Also