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 48 and 60 (Greatest Common Factor)

    "Greatest Common Factor" Calculator

    Greatest Common Factor of

    and

    What is the Greatest Common Divisor of 48 and 60?

    Answer

    GCF of 48 and 60 is
    12

    (Twelve)

    Finding GCF for 48 and 60 using all factors (divisors) listing

    The first method to find GCF for numbers 48 and 60 is to list all factors for both numbers and pick the highest common one:

    All factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

    All factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

    So the Greatest Common Factor for 48 and 60 is 12

    Finding GCF for 48 and 60 by Prime Factorization

    The second method to find GCF for numbers 48 and 60 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 48: 2, 2, 2, 2, 3

    All Prime Factors of 60: 2, 2, 3, 5

    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/48--60Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of/48--60">What is the GCF of 48 and 60 - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the GCF of 48 and 60. The GCF of 48 and 60 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/48--60/generated.jpgCopy

    GCF Table

    Number 1Number 2GCF
    481212
    483216
    483612
    48491
    48502
    48513
    48524
    48531
    48546
    48568
    48573
    48582
    48591
    486012
    487224
    488016
    4812024

    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 48 and 60? (The answer is: 12). Select the first number (e.g. '48') and the second number (e.g. '60'). 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 48 and 60?

    GCF of 48 and 60 is 12

    How to find the GCF of 48 and 60?

    You can find the GCF of 48 and 60 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 48 and 60 is 12.

    What prime factors do 48 and 60 share?

    The prime factorizations of 48 and 60 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 48/60?

    Divide the numerator and the denominator by the GCF 12: 48 ÷ 12 = 4 and 60 ÷ 12 = 5. So 48/60 in lowest terms is 4/5.

    See Also