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 180 and 252 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 180 and 252?

    Answer

    GCF of 180 and 252 is
    36

    (Thirty-six)

    Finding GCF for 180 and 252 using all factors (divisors) listing

    The first method to find GCF for numbers 180 and 252 is to list all factors for both numbers and pick the highest common one:

    All factors of 180: 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

    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 180 and 252 is 36

    Finding GCF for 180 and 252 by Prime Factorization

    The second method to find GCF for numbers 180 and 252 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 180: 2, 2, 3, 3, 5

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

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

    Now we need to multiply them to find GCF: 2 × 2 × 3 × 3 = 36

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/greatest-common-factor-of/180--252Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of/180--252">What is the GCF of 180 and 252 - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the GCF of 180 and 252. The GCF of 180 and 252 is 36 — 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/180--252/generated.jpgCopy

    GCF Table

    Number 1Number 2GCF
    1802373
    1802382
    1802391
    18024060
    1802411
    1802422
    1802439
    1802444
    1802455
    1802466
    1802471
    1802484
    1802493
    18025010
    1802511
    18025236
    1802531
    1802542
    18025515
    1802564
    1802571
    1802586
    1802591
    18026020
    1802619
    1802622
    1802631
    18026412
    1802655
    1802662

    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 180 and 252? (The answer is: 36). Select the first number (e.g. '180') 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 180 and 252?

    GCF of 180 and 252 is 36

    How to find the GCF of 180 and 252?

    You can find the GCF of 180 and 252 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 180 and 252 is 36.

    What prime factors do 180 and 252 share?

    The prime factorizations of 180 and 252 have 2 × 2 × 3 × 3 in common, and multiplying those shared primes gives 36 — exactly the greatest common factor.

    How does the GCF reduce the fraction 180/252?

    Divide the numerator and the denominator by the GCF 36: 180 ÷ 36 = 5 and 252 ÷ 36 = 7. So 180/252 in lowest terms is 5/7.

    See Also