GCF of 16 and also 36 is the largest feasible number that divides 16 and also 36 precisely without any remainder. The components of 16 and also 36 room 1, 2, 4, 8, 16 and 1, 2, 3, 4, 6, 9, 12, 18, 36 respectively. There space 3 generally 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 16 and 36

1.GCF that 16 and 36
2.List of 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 also y(36), is the greatest positive essence m(4) the divides both x(16) and also y(36) without any kind of remainder.


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

Listing typical FactorsPrime administer MethodLong division Method

GCF that 16 and also 36 by Listing common Factors

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

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

GCF that 16 and 36 by prime Factorization

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

GCF the 16 and also 36 by lengthy Division

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GCF of 16 and 36 is the divisor that we gain 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 action 1 (16) by the remainder (4).Step 3: Repeat this process until the remainder = 0.

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

☛ likewise Check:


GCF the 16 and 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 product of number = 576∵ LCM × GCF = product the 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 LCM (z, 36) = 144∵ GCF × LCM = 36 × (z)⇒ z = (GCF × LCM)/36⇒ z = (4 × 144)/36⇒ z = 16Therefore, the other number is 16.


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

Solution:

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

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

Therefore, the GCF that 16 and 36 is 4.


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FAQs on GCF the 16 and also 36

What is the GCF of 16 and 36?

The GCF that 16 and 36 is 4. To calculate the greatest usual factor (GCF) that 16 and also 36, we need to element each number (factors of 16 = 1, 2, 4, 8, 16; components of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36) and also choose the greatest aspect that exactly divides both 16 and 36, i.e., 4.

How to uncover the GCF the 16 and 36 by prime Factorization?

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

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

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

How to uncover the GCF the 16 and also 36 through Long department Method?

To discover the GCF of 16, 36 using long department method, 36 is split by 16. The corresponding divisor (4) when remainder equals 0 is taken together GCF.

What room the approaches to uncover GCF the 16 and also 36?

There room three typically used methods to uncover the GCF of 16 and also 36.

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By lengthy DivisionBy prime FactorizationBy Listing common Factors

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

The following equation deserve to be supplied to refer the relation in between LCM and GCF that 16 and also 36, i.e. GCF × LCM = 16 × 36.