GCF the 28 and 36 is the largest possible number that divides 28 and 36 specifically without any type of remainder. The factors of 28 and also 36 room 1, 2, 4, 7, 14, 28 and 1, 2, 3, 4, 6, 9, 12, 18, 36 respectively. There are 3 commonly used approaches to uncover the GCF the 28 and 36 - prime factorization, Euclidean algorithm, and also long division.

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1.GCF of 28 and also 36
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF of 28 and 36 is 4.

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Explanation:

The GCF of 2 non-zero integers, x(28) and also y(36), is the greatest positive integer m(4) the divides both x(28) and also y(36) without any type of remainder.


The approaches to find the GCF that 28 and 36 are explained below.

Long division MethodListing usual FactorsPrime factorization Method

GCF the 28 and 36 by lengthy Division

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GCF of 28 and 36 is the divisor that we gain when the remainder i do not care 0 ~ doing long division repeatedly.

Step 2: since the remainder ≠ 0, we will divide the divisor of step 1 (28) by the remainder (8).Step 3: Repeat this procedure until the remainder = 0.

The equivalent divisor (4) is the GCF of 28 and 36.

GCF that 28 and 36 by Listing common Factors

Factors of 28: 1, 2, 4, 7, 14, 28Factors that 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

There are 3 typical factors of 28 and also 36, that space 1, 2, and 4. Therefore, the greatest common factor the 28 and 36 is 4.

GCF of 28 and 36 by prime Factorization

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Prime factorization of 28 and 36 is (2 × 2 × 7) and (2 × 2 × 3 × 3) respectively. As visible, 28 and 36 have common prime factors. Hence, the GCF of 28 and also 36 is 2 × 2 = 4.

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GCF the 28 and also 36 Examples


Example 1: find the GCF that 28 and also 36, if their LCM is 252.

Solution:

∵ LCM × GCF = 28 × 36⇒ GCF(28, 36) = (28 × 36)/252 = 4Therefore, the greatest common factor that 28 and also 36 is 4.


Example 2: find the biggest number that divides 28 and 36 exactly.

Solution:

The best number the divides 28 and also 36 exactly is their greatest typical factor, i.e. GCF the 28 and 36.⇒ determinants of 28 and 36:

Factors the 28 = 1, 2, 4, 7, 14, 28Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

Therefore, the GCF the 28 and 36 is 4.


Example 3: The product of 2 numbers is 1008. If your GCF is 4, what is your LCM?

Solution:

Given: GCF = 4 and also product of numbers = 1008∵ LCM × GCF = product the numbers⇒ LCM = Product/GCF = 1008/4Therefore, the LCM is 252.


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FAQs on GCF the 28 and also 36

What is the GCF the 28 and also 36?

The GCF of 28 and also 36 is 4. To calculate the GCF of 28 and 36, we need to aspect each number (factors that 28 = 1, 2, 4, 7, 14, 28; determinants of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36) and choose the greatest factor that precisely divides both 28 and also 36, i.e., 4.

How to uncover the GCF of 28 and also 36 through Long department Method?

To uncover the GCF of 28, 36 using long department method, 36 is separated by 28. The corresponding divisor (4) when remainder equals 0 is taken as GCF.

What room the methods to find GCF the 28 and 36?

There space three typically used approaches to discover the GCF the 28 and 36.

By Euclidean AlgorithmBy element FactorizationBy long Division

What is the Relation between LCM and GCF of 28, 36?

The complying with equation have the right to be used to to express the relation between Least common Multiple (LCM) and GCF the 28 and 36, i.e. GCF × LCM = 28 × 36.

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If the GCF of 36 and also 28 is 4, discover its LCM.

GCF(36, 28) × LCM(36, 28) = 36 × 28Since the GCF that 36 and also 28 = 4⇒ 4 × LCM(36, 28) = 1008Therefore, LCM = 252☛ Greatest typical Factor Calculator

How to find the GCF of 28 and also 36 by prime Factorization?

To discover the GCF that 28 and 36, us will uncover the prime factorization of the provided numbers, i.e. 28 = 2 × 2 × 7; 36 = 2 × 2 × 3 × 3.⇒ because 2, 2 are usual terms in the prime factorization that 28 and also 36. Hence, GCF(28, 36) = 2 × 2 = 4☛ What is a prime Number?