GCF that 4 and also 10 is the largest possible number that divides 4 and 10 exactly without any type of remainder. The components of 4 and also 10 are 1, 2, 4 and 1, 2, 5, 10 respectively. There are 3 generally used approaches to discover the GCF of 4 and 10 - element factorization, lengthy division, and also Euclidean algorithm.

You are watching: What are the common factors of 4 and 10

1.GCF the 4 and also 10
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF the 4 and also 10 is 2.

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Explanation:

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


Let's look in ~ the various methods because that finding the GCF of 4 and 10.

Listing usual FactorsLong department MethodPrime factorization Method

GCF that 4 and 10 through Listing typical Factors

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

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

GCF of 4 and 10 by long Division

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GCF of 4 and also 10 is the divisor the we acquire when the remainder i do not care 0 after doing long division repeatedly.

Step 2: because the remainder ≠ 0, we will divide the divisor of action 1 (4) through the remainder (2).Step 3: Repeat this process until the remainder = 0.

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

GCF that 4 and 10 by prime Factorization

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Prime administrate of 4 and also 10 is (2 × 2) and (2 × 5) respectively. Together visible, 4 and 10 have only one common prime aspect i.e. 2. Hence, the GCF the 4 and 10 is 2.

☛ also Check:


GCF the 4 and 10 Examples


Example 1: find the GCF of 4 and also 10, if your LCM is 20.

Solution:

∵ LCM × GCF = 4 × 10⇒ GCF(4, 10) = (4 × 10)/20 = 2Therefore, the greatest common factor that 4 and 10 is 2.


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

Solution:

Given: GCF = 2 and product of number = 40∵ LCM × GCF = product the numbers⇒ LCM = Product/GCF = 40/2Therefore, the LCM is 20.


Example 3: uncover the best number the divides 4 and 10 exactly.

Solution:

The biggest number that divides 4 and 10 exactly is your greatest common factor, i.e. GCF of 4 and also 10.⇒ factors of 4 and 10:

Factors the 4 = 1, 2, 4Factors that 10 = 1, 2, 5, 10

Therefore, the GCF the 4 and 10 is 2.


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FAQs on GCF of 4 and also 10

What is the GCF of 4 and 10?

The GCF the 4 and 10 is 2. To calculate the greatest typical factor (GCF) of 4 and also 10, we require to variable each number (factors the 4 = 1, 2, 4; determinants of 10 = 1, 2, 5, 10) and also choose the greatest variable that precisely divides both 4 and 10, i.e., 2.

How to uncover the GCF the 4 and 10 by prime Factorization?

To find the GCF that 4 and 10, we will uncover the prime factorization the the offered numbers, i.e. 4 = 2 × 2; 10 = 2 × 5.⇒ due to the fact that 2 is the only common prime variable of 4 and 10. Hence, GCF (4, 10) = 2.☛ element Numbers

If the GCF that 10 and also 4 is 2, discover its LCM.

GCF(10, 4) × LCM(10, 4) = 10 × 4Since the GCF the 10 and 4 = 2⇒ 2 × LCM(10, 4) = 40Therefore, LCM = 20☛ Greatest usual Factor Calculator

How to uncover the GCF that 4 and also 10 by Long division Method?

To uncover the GCF the 4, 10 utilizing long division method, 10 is separated by 4. The equivalent divisor (2) when remainder equals 0 is taken together GCF.

What are the methods to find GCF that 4 and also 10?

There space three commonly used techniques to find the GCF of 4 and also 10.

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By element FactorizationBy Euclidean AlgorithmBy long Division

What is the Relation in between LCM and GCF that 4, 10?

The adhering to equation have the right to be used to refer the relation in between LCM (Least typical Multiple) and also GCF that 4 and 10, i.e. GCF × LCM = 4 × 10.