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 126 and 168 (Greatest Common Factor)

    "Greatest Common Factor" Calculator
    Greatest Common Factor of
    and

    What is the Greatest Common Divisor of 126 and 168?

    Answer

    GCF of 126 and 168 is
    42

    (Forty-two)

    Finding GCF for 126 and 168 using all factors (divisors) listing

    The first method to find GCF for numbers 126 and 168 is to list all factors for both numbers and pick the highest common one:

    All factors of 126: 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

    All factors of 168: 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

    So the Greatest Common Factor for 126 and 168 is 42

    Finding GCF for 126 and 168 by Prime Factorization

    The second method to find GCF for numbers 126 and 168 is to list all Prime Factors for both numbers and multiply the common ones:

    All Prime Factors of 126: 2, 3, 3, 7

    All Prime Factors of 168: 2, 2, 2, 3, 7

    As we can see there are Prime Factors common to both numbers: 2, 3, 7

    Now we need to multiply them to find GCF: 2 × 3 × 7 = 42

    Related Calculations

    See Also

    Share This Calculation
    Print
    https://calculat.io/en/number/greatest-common-factor-of/126--168Copy
    <a href="https://calculat.io/en/number/greatest-common-factor-of/126--168">What is the GCF of 126 and 168 - Calculatio</a>Copy
    Facebook
    Twitter
    Telegram
    WhatsApp
    Viber
    Email
    What is the GCF of 126 and 168. The GCF of 126 and 168 is 42 — 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/126--168/generated.jpgCopy

    GCF Table

    Number 1Number 2GCF
    1261539
    12615414
    1261551
    1261566
    1261571
    1261582
    1261593
    1261602
    1261617
    12616218
    1261631
    1261642
    1261653
    1261662
    1261671
    12616842
    1261691
    1261702
    1261719
    1261722
    1261731
    1261746
    1261757
    1261762
    1261773
    1261782
    1261791
    12618018
    1261811
    12618214

    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 126 and 168? (The answer is: 42). Select the first number (e.g. '126') and the second number (e.g. '168'). 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 126 and 168?

    GCF of 126 and 168 is 42

    How to find the GCF of 126 and 168?

    You can find the GCF of 126 and 168 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 126 and 168 is 42.

    What prime factors do 126 and 168 share?

    The prime factorizations of 126 and 168 have 2 × 3 × 7 in common, and multiplying those shared primes gives 42 — exactly the greatest common factor.

    How does the GCF reduce the fraction 126/168?

    Divide the numerator and the denominator by the GCF 42: 126 ÷ 42 = 3 and 168 ÷ 42 = 4. So 126/168 in lowest terms is 3/4.

    See Also