GCF that 20 and also 28 is the largest possible number the divides 20 and also 28 exactly without any kind of remainder. The components of 20 and also 28 are 1, 2, 4, 5, 10, 20 and 1, 2, 4, 7, 14, 28 respectively. There space 3 frequently used techniques to find the GCF the 20 and 28 - Euclidean algorithm, element factorization, and also long division.

You are watching: What is the greatest common factor of 20 and 28

1.GCF that 20 and 28
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF the 20 and also 28 is 4.

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Explanation:

The GCF of 2 non-zero integers, x(20) and also y(28), is the greatest positive essence m(4) the divides both x(20) and y(28) without any type of remainder.


Let's look in ~ the different methods for finding the GCF of 20 and 28.

Long division MethodPrime administrate MethodListing usual Factors

GCF of 20 and also 28 by lengthy Division

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GCF of 20 and also 28 is the divisor the we gain when the remainder i do not care 0 after ~ doing long division repeatedly.

Step 2: since the remainder ≠ 0, we will certainly divide the divisor of action 1 (20) by the remainder (8).Step 3: Repeat this process until the remainder = 0.

The equivalent divisor (4) is the GCF that 20 and also 28.

GCF of 20 and also 28 by prime Factorization

Prime factorization of 20 and 28 is (2 × 2 × 5) and (2 × 2 × 7) respectively. As visible, 20 and 28 have common prime factors. Hence, the GCF of 20 and 28 is 2 × 2 = 4.

GCF of 20 and 28 by Listing typical Factors

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Factors that 20: 1, 2, 4, 5, 10, 20Factors of 28: 1, 2, 4, 7, 14, 28

There are 3 usual factors the 20 and also 28, that are 1, 2, and also 4. Therefore, the greatest typical factor the 20 and also 28 is 4.

☛ likewise Check:


GCF of 20 and 28 Examples


Example 1: The product of 2 numbers is 560. If their GCF is 4, what is your LCM?

Solution:

Given: GCF = 4 and product of numbers = 560∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 560/4Therefore, the LCM is 140.


Example 2: For two numbers, GCF = 4 and also LCM = 140. If one number is 28, find the other number.

Solution:

Given: GCF (x, 28) = 4 and LCM (x, 28) = 140∵ GCF × LCM = 28 × (x)⇒ x = (GCF × LCM)/28⇒ x = (4 × 140)/28⇒ x = 20Therefore, the other number is 20.


Example 3: discover the GCF the 20 and 28, if their LCM is 140.

Solution:

∵ LCM × GCF = 20 × 28⇒ GCF(20, 28) = (20 × 28)/140 = 4Therefore, the greatest usual factor of 20 and also 28 is 4.


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FAQs top top GCF that 20 and also 28

What is the GCF that 20 and 28?

The GCF of 20 and 28 is 4. To calculate the GCF that 20 and also 28, we need to factor each number (factors the 20 = 1, 2, 4, 5, 10, 20; determinants of 28 = 1, 2, 4, 7, 14, 28) and choose the greatest factor that precisely divides both 20 and 28, i.e., 4.

What space the approaches to find GCF of 20 and also 28?

There are three typically used techniques to uncover the GCF the 20 and 28.

By prime FactorizationBy Euclidean AlgorithmBy long Division

If the GCF that 28 and 20 is 4, discover its LCM.

GCF(28, 20) × LCM(28, 20) = 28 × 20Since the GCF that 28 and also 20 = 4⇒ 4 × LCM(28, 20) = 560Therefore, LCM = 140☛ Greatest common Factor Calculator

How to uncover the GCF of 20 and also 28 by element Factorization?

To find the GCF of 20 and 28, we will find the element factorization of the provided numbers, i.e. 20 = 2 × 2 × 5; 28 = 2 × 2 × 7.⇒ because 2, 2 are common terms in the element factorization the 20 and also 28. Hence, GCF(20, 28) = 2 × 2 = 4☛ What is a element Number?

How to discover the GCF that 20 and also 28 by Long division Method?

To uncover the GCF that 20, 28 utilizing long department method, 28 is separated by 20. The matching divisor (4) once remainder equates to 0 is taken as GCF.

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What is the Relation in between LCM and also GCF that 20, 28?

The adhering to equation can be used to refer the relation in between LCM (Least usual Multiple) and GCF the 20 and 28, i.e. GCF × LCM = 20 × 28.