GCF the 16 and also 36 is the largest possible number the divides 16 and also 36 precisely without any kind of remainder. The components of 16 and also 36 are 1, 2, 4, 8, 16 and also 1, 2, 3, 4, 6, 9, 12, 18, 36 respectively. There space 3 commonly used methods to uncover the GCF the 16 and 36 - Euclidean algorithm, long division, and also prime factorization.

You are watching: What is the gcf of 36 and 16

1.GCF the 16 and 36
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF the 16 and also 36 is 4.

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Explanation:

The GCF of two non-zero integers, x(16) and y(36), is the greatest positive creature m(4) the divides both x(16) and y(36) without any kind of remainder.


The techniques to discover the GCF that 16 and 36 are defined below.

Listing common FactorsPrime administer MethodLong division Method

GCF that 16 and also 36 by Listing common Factors

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Factors the 16: 1, 2, 4, 8, 16Factors that 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

There are 3 common factors the 16 and 36, that space 1, 2, and 4. Therefore, the greatest common factor that 16 and also 36 is 4.

GCF the 16 and 36 by prime Factorization

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Prime administer of 16 and also 36 is (2 × 2 × 2 × 2) and also (2 × 2 × 3 × 3) respectively. Together visible, 16 and also 36 have usual prime factors. Hence, the GCF the 16 and 36 is 2 × 2 = 4.

GCF the 16 and 36 by long Division

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GCF of 16 and 36 is the divisor the we obtain when the remainder i do not care 0 ~ doing long division repeatedly.

Step 2: since the remainder ≠ 0, we will certainly divide the divisor of action 1 (16) by the remainder (4).Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (4) is the GCF that 16 and 36.

☛ also Check:


GCF that 16 and also 36 Examples


Example 1: The product of two numbers is 576. If your GCF is 4, what is your LCM?

Solution:

Given: GCF = 4 and also product of number = 576∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 576/4Therefore, the LCM is 144.


Example 2: For 2 numbers, GCF = 4 and also LCM = 144. If one number is 36, find the various other number.

Solution:

Given: GCF (z, 36) = 4 and also LCM (z, 36) = 144∵ GCF × LCM = 36 × (z)⇒ z = (GCF × LCM)/36⇒ z = (4 × 144)/36⇒ z = 16Therefore, the various other number is 16.


Example 3: find the best number the divides 16 and 36 exactly.

Solution:

The greatest number that divides 16 and 36 specifically is their greatest common factor, i.e. GCF of 16 and also 36.⇒ determinants of 16 and 36:

Factors the 16 = 1, 2, 4, 8, 16Factors that 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

Therefore, the GCF that 16 and 36 is 4.


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FAQs top top GCF that 16 and also 36

What is the GCF of 16 and also 36?

The GCF the 16 and 36 is 4. To calculate the greatest common factor (GCF) of 16 and also 36, we require to factor each number (factors of 16 = 1, 2, 4, 8, 16; determinants of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36) and choose the greatest factor that specifically divides both 16 and 36, i.e., 4.

How to discover the GCF that 16 and also 36 by element Factorization?

To uncover the GCF that 16 and 36, us will discover the element factorization that the given numbers, i.e. 16 = 2 × 2 × 2 × 2; 36 = 2 × 2 × 3 × 3.⇒ since 2, 2 are common terms in the prime factorization the 16 and also 36. Hence, GCF(16, 36) = 2 × 2 = 4☛ prime Number

If the GCF that 36 and also 16 is 4, uncover its LCM.

GCF(36, 16) × LCM(36, 16) = 36 × 16Since the GCF of 36 and also 16 = 4⇒ 4 × LCM(36, 16) = 576Therefore, LCM = 144☛ Greatest typical Factor Calculator

How to uncover the GCF the 16 and 36 by Long division Method?

To uncover the GCF that 16, 36 making use of long division method, 36 is separated by 16. The matching divisor (4) when remainder equals 0 is taken as GCF.

What space the methods to discover GCF of 16 and also 36?

There are three commonly used approaches to find the GCF that 16 and 36.

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By lengthy DivisionBy prime FactorizationBy Listing usual Factors

What is the Relation in between LCM and GCF that 16, 36?

The complying with equation can be supplied to express the relation in between LCM and also GCF of 16 and also 36, i.e. GCF × LCM = 16 × 36.