GCF that 28 and also 48 is the largest possible number that divides 28 and 48 exactly without any kind of remainder. The components of 28 and also 48 are 1, 2, 4, 7, 14, 28 and also 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 respectively. There space 3 generally used methods to uncover the GCF the 28 and 48 - Euclidean algorithm, element factorization, and also long division.

You are watching: Find the greatest common factor of 28 and 48

1.GCF of 28 and 48
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF of 28 and also 48 is 4.

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Explanation:

The GCF of two non-zero integers, x(28) and y(48), is the biggest positive integer m(4) the divides both x(28) and also y(48) without any remainder.


The approaches to find the GCF that 28 and also 48 are described below.

Prime administrate MethodListing usual FactorsLong department Method

GCF of 28 and 48 by element Factorization

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Prime factorization of 28 and 48 is (2 × 2 × 7) and (2 × 2 × 2 × 2 × 3) respectively. Together visible, 28 and also 48 have usual prime factors. Hence, the GCF of 28 and 48 is 2 × 2 = 4.

GCF of 28 and also 48 through Listing typical Factors

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Factors that 28: 1, 2, 4, 7, 14, 28Factors the 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

There are 3 common factors of 28 and 48, that are 1, 2, and also 4. Therefore, the greatest usual factor the 28 and 48 is 4.

GCF of 28 and also 48 by long Division

GCF that 28 and also 48 is the divisor the we acquire when the remainder i do not care 0 after ~ doing long division repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will certainly divide the divisor of step 1 (28) by the remainder (20).Step 3: Repeat this process until the remainder = 0.

The equivalent divisor (4) is the GCF that 28 and 48.

☛ likewise Check:


GCF that 28 and also 48 Examples


Example 1: find the GCF that 28 and 48, if your LCM is 336.

Solution:

∵ LCM × GCF = 28 × 48⇒ GCF(28, 48) = (28 × 48)/336 = 4Therefore, the greatest common factor of 28 and 48 is 4.


Example 2: For 2 numbers, GCF = 4 and LCM = 336. If one number is 28, uncover the other number.

Solution:

Given: GCF (y, 28) = 4 and LCM (y, 28) = 336∵ GCF × LCM = 28 × (y)⇒ y = (GCF × LCM)/28⇒ y = (4 × 336)/28⇒ y = 48Therefore, the other number is 48.


Example 3: The product of two numbers is 1344. If your GCF is 4, what is their LCM?

Solution:

Given: GCF = 4 and product of number = 1344∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 1344/4Therefore, the LCM is 336.


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FAQs on GCF of 28 and 48

What is the GCF of 28 and 48?

The GCF that 28 and 48 is 4. To calculate the greatest common factor (GCF) the 28 and also 48, we need to aspect each number (factors that 28 = 1, 2, 4, 7, 14, 28; determinants of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48) and also choose the greatest aspect that exactly divides both 28 and 48, i.e., 4.

How to find the GCF of 28 and also 48 by element Factorization?

To uncover the GCF that 28 and 48, us will uncover the element factorization the the given numbers, i.e. 28 = 2 × 2 × 7; 48 = 2 × 2 × 2 × 2 × 3.⇒ because 2, 2 are usual terms in the element factorization that 28 and also 48. Hence, GCF(28, 48) = 2 × 2 = 4☛ element Numbers

How to uncover the GCF of 28 and 48 through Long department Method?

To uncover the GCF the 28, 48 using long department method, 48 is split by 28. The corresponding divisor (4) once remainder amounts to 0 is taken together GCF.

What is the Relation between LCM and GCF the 28, 48?

The adhering to equation can be provided to refer the relation between Least usual Multiple and also GCF the 28 and also 48, i.e. GCF × LCM = 28 × 48.

What room the techniques to uncover GCF the 28 and also 48?

There room three typically used techniques to uncover the GCF that 28 and also 48.

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By Euclidean AlgorithmBy lengthy DivisionBy prime Factorization

If the GCF the 48 and also 28 is 4, uncover its LCM.

GCF(48, 28) × LCM(48, 28) = 48 × 28Since the GCF that 48 and 28 = 4⇒ 4 × LCM(48, 28) = 1344Therefore, LCM = 336☛ Greatest usual Factor Calculator