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

You are watching: Greatest common factor of 16 and 36

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

Answer: GCF the 16 and 36 is 4.

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Explanation:

The GCF of two non-zero integers, x(16) and y(36), is the best positive integer m(4) that divides both x(16) and y(36) without any type of remainder.


The methods to find the GCF of 16 and 36 are described below.

Listing usual FactorsPrime administer MethodLong division Method

GCF of 16 and also 36 by Listing usual Factors

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

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

GCF the 16 and also 36 by element Factorization

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

GCF that 16 and also 36 by long 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 department 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 equivalent divisor (4) is the GCF of 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 their LCM?

Solution:

Given: GCF = 4 and product of number = 576∵ LCM × GCF = product that 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, discover the 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: uncover the biggest number that divides 16 and also 36 exactly.

Solution:

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

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

Therefore, the GCF of 16 and also 36 is 4.


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FAQs on GCF the 16 and also 36

What is the GCF of 16 and also 36?

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

How to find the GCF of 16 and also 36 by element Factorization?

To find the GCF the 16 and 36, we will uncover the prime factorization of the provided numbers, i.e. 16 = 2 × 2 × 2 × 2; 36 = 2 × 2 × 3 × 3.⇒ due to the fact that 2, 2 are common terms in the prime factorization that 16 and also 36. Hence, GCF(16, 36) = 2 × 2 = 4☛ prime Number

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

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

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

To uncover the GCF the 16, 36 making use of long division method, 36 is split by 16. The corresponding divisor (4) when remainder equates to 0 is taken as GCF.

What space the techniques to find GCF the 16 and 36?

There are three typically used techniques to uncover the GCF the 16 and also 36.

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By long DivisionBy prime FactorizationBy Listing usual Factors

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

The complying with equation have the right to be used to express the relation between LCM and also GCF that 16 and also 36, i.e. GCF × LCM = 16 × 36.