GCF of 18 and also 36 is the largest possible number the divides 18 and also 36 specifically without any kind of remainder. The components of 18 and also 36 room 1, 2, 3, 6, 9, 18 and 1, 2, 3, 4, 6, 9, 12, 18, 36 respectively. There are 3 generally used techniques to find the GCF the 18 and 36 - lengthy division, element factorization, and Euclidean algorithm.

You are watching: What is the greatest common factor of 18

1.GCF of 18 and also 36
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF that 18 and also 36 is 18.

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Explanation:

The GCF of 2 non-zero integers, x(18) and y(36), is the biggest positive creature m(18) that divides both x(18) and y(36) without any type of remainder.


Let's look in ~ the various methods because that finding the GCF that 18 and 36.

Long division MethodPrime administer MethodListing usual Factors

GCF that 18 and also 36 by lengthy Division

GCF the 18 and also 36 is the divisor the we obtain when the remainder becomes 0 after ~ doing long division repeatedly.

Step 2: because the remainder = 0, the divisor (18) is the GCF of 18 and 36.

The corresponding divisor (18) is the GCF the 18 and also 36.

GCF the 18 and 36 by element Factorization

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Prime factorization of 18 and also 36 is (2 × 3 × 3) and (2 × 2 × 3 × 3) respectively. As visible, 18 and 36 have usual prime factors. Hence, the GCF that 18 and 36 is 2 × 3 × 3 = 18.

GCF that 18 and also 36 through Listing usual Factors

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Factors that 18: 1, 2, 3, 6, 9, 18Factors that 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

There are 6 common factors that 18 and also 36, that room 1, 2, 3, 6, 9, and also 18. Therefore, the greatest typical factor of 18 and 36 is 18.

☛ additionally Check:


GCF that 18 and 36 Examples


Example 1: The product of 2 numbers is 648. If their GCF is 18, what is their LCM?

Solution:

Given: GCF = 18 and also product of number = 648∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 648/18Therefore, the LCM is 36.


Example 2: uncover the greatest number that divides 18 and also 36 exactly.

Solution:

The biggest number the divides 18 and also 36 exactly is your greatest usual factor, i.e. GCF that 18 and also 36.⇒ factors of 18 and also 36:

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

Therefore, the GCF that 18 and 36 is 18.


Example 3: For two numbers, GCF = 18 and also LCM = 36. If one number is 18, uncover the other number.

Solution:

Given: GCF (x, 18) = 18 and LCM (x, 18) = 36∵ GCF × LCM = 18 × (x)⇒ x = (GCF × LCM)/18⇒ x = (18 × 36)/18⇒ x = 36Therefore, the various other number is 36.


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FAQs on GCF the 18 and also 36

What is the GCF the 18 and also 36?

The GCF that 18 and also 36 is 18. To calculate the greatest typical factor (GCF) the 18 and 36, we require to element each number (factors the 18 = 1, 2, 3, 6, 9, 18; factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36) and choose the greatest variable that specifically divides both 18 and 36, i.e., 18.

How to discover the GCF the 18 and also 36 by prime Factorization?

To discover the GCF the 18 and also 36, we will discover the prime factorization that the offered numbers, i.e. 18 = 2 × 3 × 3; 36 = 2 × 2 × 3 × 3.⇒ since 2, 3, 3 are common terms in the prime factorization the 18 and 36. Hence, GCF(18, 36) = 2 × 3 × 3 = 18☛ prime Number

If the GCF of 36 and 18 is 18, discover its LCM.

GCF(36, 18) × LCM(36, 18) = 36 × 18Since the GCF of 36 and 18 = 18⇒ 18 × LCM(36, 18) = 648Therefore, LCM = 36☛ Greatest usual Factor Calculator

How to find the GCF of 18 and 36 by Long division Method?

To find the GCF of 18, 36 using long department method, 36 is separated by 18. The matching divisor (18) when remainder equals 0 is taken as GCF.

What space the techniques to discover GCF of 18 and 36?

There room three commonly used approaches to find the GCF of 18 and also 36.

See more: The Refinement Of Whole Grains Transforms Brown Rice Into White Rice.

By element FactorizationBy Euclidean AlgorithmBy long Division

What is the Relation in between LCM and also GCF that 18, 36?

The adhering to equation deserve to be offered to to express the relation between Least common Multiple and GCF that 18 and also 36, i.e. GCF × LCM = 18 × 36.