if you want to remove an article from website contact us from top.

    what is the greatest common factor of 4 and 10

    James

    Guys, does anyone know the answer?

    get what is the greatest common factor of 4 and 10 from EN Bilgi.

    What is the greatest common factor of 4 and 10?

    The greatest common factor is 2. First, you can list all the factors of 4. 1, 2, 4 Next, list all the factors of 10: 1, 2, 5, 10 Now, look back at the two lists and see if any of the numbers are the same in both lists. If there is more than one, the greatest number will be the greatest common factor. In this case, the only common number is 2, and so it is automatically the greatest common factor.

    What is the greatest common factor of 4 and 10?

    Prealgebra Factors and Multiples Greatest Common Factor

    2 Answers

    Lydia · EZ as pi Mar 29, 2016

    The greatest common factor is 2.

    Explanation:

    First, you can list all the factors of 4.

    1 , 2 , 4

    Next, list all the factors of 10:

    1 , 2 , 5 , 10

    Now, look back at the two lists and see if any of the numbers are the same in both lists. If there is more than one, the greatest number will be the greatest common factor. In this case, the only common number is 2, and so it is automatically the greatest common factor.

    Answer link

    EZ as pi Aug 24, 2016 The GCF = 2.

    Both 4 and 10 are even, so they must have a common factor of 2.

    In this case this is the only common factor (apart from 1).

    Explanation:

    A good approach for any question involving factors, GCF, LCM and roots is to write each number as the product of its prime factors .

    If you have a number written as the product of its prime factors, then you know everything about that number!

    × . × x 4 = 2 × 2 × × x 10 = 2 × x × 5 × x G C F = 2

    We can see that 2 is common to both.

    This is also a good way of finding the LCM, especially of big numbers.

    L C M = 2 × 2 × 5 = 20 Answer link

    Related questions

    What's the GCF of 3 and 5?

    What is the GCF for 54, 72?

    What is the GCF of 36 and 60?

    What is the GCF of 2, 5, and 6?

    What is the GCF of 18 and 30?

    What is the greatest common factor of 175 and 245?

    What is the greatest common factor of 108 and 168?

    How do you find the GCF and LCM of numbers?

    What is the GCF of 210 and 252?

    What is a GCF?

    See all questions in Greatest Common Factor

    Impact of this question

    21957 views around the world

    You can reuse this answer

    Creative Commons License

    Source : socratic.org

    GCF of 4 and 10

    GCF of 4 and 10 is the largest possible number which divides 4 and 10 without leaving any remainder. The methods to compute the GCF of 4, 10 are explained here.

    GCF of 4 and 10

    GCF of 4 and 10 is the largest possible number that divides 4 and 10 exactly without any remainder. The factors of 4 and 10 are 1, 2, 4 and 1, 2, 5, 10 respectively. There are 3 commonly used methods to find the GCF of 4 and 10 - prime factorization, long division, and Euclidean algorithm.

    What is GCF of 4 and 10?

    Answer: GCF of 4 and 10 is 2.Explanation:

    The GCF of two non-zero integers, x(4) and y(10), is the greatest positive integer m(2) that divides both x(4) and y(10) without any remainder.

    Methods to Find GCF of 4 and 10

    Let's look at the different methods for finding the GCF of 4 and 10.

    Listing Common Factors

    Long Division Method

    Prime Factorization Method

    GCF of 4 and 10 by Listing Common Factors

    Factors of 4: 1, 2, 4Factors of 10: 1, 2, 5, 10

    There are 2 common factors of 4 and 10, that are 1 and 2. Therefore, the greatest common factor of 4 and 10 is 2.

    GCF of 4 and 10 by Long Division

    GCF of 4 and 10 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.

    Step 1: Divide 10 (larger number) by 4 (smaller number).Step 2: Since the remainder ≠ 0, we will divide the divisor of step 1 (4) by the remainder (2).Step 3: Repeat this process until the remainder = 0.

    The corresponding divisor (2) is the GCF of 4 and 10.

    GCF of 4 and 10 by Prime Factorization

    Prime factorization of 4 and 10 is (2 × 2) and (2 × 5) respectively. As visible, 4 and 10 have only one common prime factor i.e. 2. Hence, the GCF of 4 and 10 is 2.

    ☛ Also Check:

    GCF of 40 and 56 = 8

    GCF of 15 and 50 = 5

    GCF of 33 and 66 = 33

    GCF of 30 and 36 = 6

    GCF of 10, 30 and 45 = 5

    GCF of 9 and 24 = 3

    GCF of 36 and 100 = 4

    Read More

    GCF of 4 and 10 Examples

    Example 1: Find the GCF of 4 and 10, if their LCM is 20. Solution:

    ∵ LCM × GCF = 4 × 10

    ⇒ GCF(4, 10) = (4 × 10)/20 = 2

    Therefore, the greatest common factor of 4 and 10 is 2.

    Example 2: The product of two numbers is 40. If their GCF is 2, what is their LCM? Solution:

    Given: GCF = 2 and product of numbers = 40

    ∵ LCM × GCF = product of numbers

    ⇒ LCM = Product/GCF = 40/2

    Therefore, the LCM is 20.

    Example 3: Find the greatest number that divides 4 and 10 exactly. Solution:

    The greatest number that divides 4 and 10 exactly is their greatest common factor, i.e. GCF of 4 and 10.

    ⇒ Factors of 4 and 10:

    Factors of 4 = 1, 2, 4

    Factors of 10 = 1, 2, 5, 10

    Therefore, the GCF of 4 and 10 is 2.

    Show Solution >

    Ready to see the world through math’s eyes?

    Math is at the core of everything we do. Enjoy solving real-world math problems in live classes and become an expert at everything.

    Book a Free Trial Class

    FAQs on GCF of 4 and 10

    What is the GCF of 4 and 10?

    The . To calculate the greatest common factor (GCF) of 4 and 10, we need to factor each number (factors of 4 = 1, 2, 4; factors of 10 = 1, 2, 5, 10) and choose the greatest factor that exactly divides both 4 and 10, i.e., 2.

    How to Find the GCF of 4 and 10 by Prime Factorization?

    To find the GCF of 4 and 10, we will find the prime factorization of the given numbers, i.e. 4 = 2 × 2; 10 = 2 × 5.

    ⇒ Since 2 is the only common prime factor of 4 and 10. Hence, GCF (4, 10) = 2.

    ☛ Prime Numbers

    If the GCF of 10 and 4 is 2, Find its LCM.

    GCF(10, 4) × LCM(10, 4) = 10 × 4

    Since the GCF of 10 and 4 = 2

    ⇒ 2 × LCM(10, 4) = 40

    Therefore, LCM = 20

    ☛ Greatest Common Factor Calculator

    How to Find the GCF of 4 and 10 by Long Division Method?

    To find the GCF of 4, 10 using long division method, 10 is divided by 4. The corresponding divisor (2) when remainder equals 0 is taken as GCF.

    What are the Methods to Find GCF of 4 and 10?

    There are three commonly used methods to find the GCF of 4 and 10.

    By Prime Factorization

    By Euclidean Algorithm

    By Long Division

    What is the Relation Between LCM and GCF of 4, 10?

    The following equation can be used to express the relation between LCM (Least Common Multiple) and GCF of 4 and 10, i.e. GCF × LCM = 4 × 10.

    Download FREE Study Materials

    GCF and LCM

    GCF and LCM Worksheet

    GCF and LCM Worksheet

    Source : www.cuemath.com

    Greatest Common Factor of 4 and 10 GCF(4,10)

    GCF of 4 and 10, find the biggest number that can divide two integers, learn what is the greatest common factor of 4 and 10.

    Home » GCF Calculator

    What is the Greatest Common Factor of 4 and 10?

    Greatest common factor (GCF) of 4 and 10 is 2.

    GCF(4,10) = 2

    We will now calculate the prime factors of 4 and 10, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4 and 10.

    How to find the GCF of 4 and 10?

    We will first find the prime factorization of 4 and 10. After we will calculate the factors of 4 and 10 and find the biggest common factor number .

    Step-1: Prime Factorization of 4

    Prime factors of 4 are 2. Prime factorization of 4 in exponential form is:

    4 = 22

    Step-2: Prime Factorization of 10

    Prime factors of 10 are 2, 5. Prime factorization of 10 in exponential form is:

    10 = 21 × 51

    Step-3: Factors of 4

    List of positive integer factors of 4 that divides 4 without a remainder.

    1, 2

    Step-4: Factors of 10

    List of positive integer factors of 10 that divides 4 without a remainder.

    1, 2, 5

    Final Step: Biggest Common Factor Number

    We found the factors and prime factorization of 4 and 10. The biggest common factor number is the GCF number.

    So the greatest common factor 4 and 10 is 2.

    Also check out the Least Common Multiple of 4 and 10

    Related Greatest Common Factors of 4

    GCF of 4 and 8 GCF of 4 and 9 GCF of 4 and 10 GCF of 4 and 11 GCF of 4 and 12 GCF of 4 and 13 GCF of 4 and 14 GCF of 4 and 15 GCF of 4 and 16 GCF of 4 and 17 GCF of 4 and 18 GCF of 4 and 19 GCF of 4 and 20 GCF of 4 and 21 GCF of 4 and 22 GCF of 4 and 23 GCF of 4 and 24

    Related Greatest Common Factors of 10

    GCF of 10 and 14 GCF of 10 and 15 GCF of 10 and 16 GCF of 10 and 17 GCF of 10 and 18 GCF of 10 and 19 GCF of 10 and 20 GCF of 10 and 21 GCF of 10 and 22 GCF of 10 and 23 GCF of 10 and 24 GCF of 10 and 25 GCF of 10 and 26 GCF of 10 and 27 GCF of 10 and 28 GCF of 10 and 29 GCF of 10 and 30

    Source : www.gcflcm.com

    Do you want to see answer or more ?
    James 17 day ago
    4

    Guys, does anyone know the answer?

    Click For Answer