GCF of 16 and also 80 is the largest possible number the divides 16 and also 80 precisely without any remainder. The components of 16 and also 80 room 1, 2, 4, 8, 16 and 1, 2, 4, 5, 8, 10, 16, 20, 40, 80 respectively. There are 3 typically used techniques to uncover the GCF that 16 and also 80 - Euclidean algorithm, element factorization, and long division.

You are watching: What is the gcf of 16 and 80

1.GCF of 16 and 80
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF that 16 and 80 is 16.

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Explanation:

The GCF of 2 non-zero integers, x(16) and also y(80), is the biggest positive essence m(16) the divides both x(16) and y(80) without any type of remainder.


The methods to find the GCF the 16 and also 80 are explained below.

Long division MethodListing common FactorsPrime factorization Method

GCF that 16 and also 80 by lengthy Division

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GCF of 16 and also 80 is the divisor that we gain when the remainder becomes 0 ~ doing long division repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (16) is the GCF the 16 and also 80.

The equivalent divisor (16) is the GCF that 16 and 80.

GCF that 16 and also 80 by Listing typical Factors

Factors that 16: 1, 2, 4, 8, 16Factors that 80: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

There space 5 typical factors the 16 and 80, that are 1, 2, 4, 8, and also 16. Therefore, the greatest typical factor of 16 and 80 is 16.

GCF that 16 and also 80 by element Factorization

Prime factorization of 16 and 80 is (2 × 2 × 2 × 2) and also (2 × 2 × 2 × 2 × 5) respectively. As visible, 16 and 80 have common prime factors. Hence, the GCF of 16 and 80 is 2 × 2 × 2 × 2 = 16.

☛ likewise Check:


GCF that 16 and 80 Examples


Example 1: uncover the greatest number the divides 16 and 80 exactly.

Solution:

The greatest number that divides 16 and 80 specifically is your greatest typical factor, i.e. GCF the 16 and also 80.⇒ factors of 16 and 80:

Factors of 16 = 1, 2, 4, 8, 16Factors that 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Therefore, the GCF of 16 and also 80 is 16.


Example 2: For 2 numbers, GCF = 16 and LCM = 80. If one number is 16, uncover the other number.

Solution:

Given: GCF (x, 16) = 16 and also LCM (x, 16) = 80∵ GCF × LCM = 16 × (x)⇒ x = (GCF × LCM)/16⇒ x = (16 × 80)/16⇒ x = 80Therefore, the other number is 80.


Example 3: uncover the GCF the 16 and also 80, if their LCM is 80.

Solution:

∵ LCM × GCF = 16 × 80⇒ GCF(16, 80) = (16 × 80)/80 = 16Therefore, the greatest common factor the 16 and also 80 is 16.


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FAQs ~ above GCF of 16 and 80

What is the GCF that 16 and 80?

The GCF that 16 and also 80 is 16. To calculate the greatest typical factor the 16 and also 80, we require to variable each number (factors that 16 = 1, 2, 4, 8, 16; factors of 80 = 1, 2, 4, 5, 8, 10, 16, 20, 40, 80) and also choose the greatest element that exactly divides both 16 and 80, i.e., 16.

What space the approaches to find GCF the 16 and also 80?

There room three generally used methods to discover the GCF that 16 and also 80.

By long DivisionBy element FactorizationBy Euclidean Algorithm

How to uncover the GCF of 16 and also 80 by prime Factorization?

To discover the GCF the 16 and also 80, we will find the prime factorization that the offered numbers, i.e. 16 = 2 × 2 × 2 × 2; 80 = 2 × 2 × 2 × 2 × 5.⇒ because 2, 2, 2, 2 are typical terms in the prime factorization the 16 and also 80. Hence, GCF(16, 80) = 2 × 2 × 2 × 2 = 16☛ prime Number

What is the Relation in between LCM and GCF that 16, 80?

The adhering to equation can be used to express the relation between Least usual Multiple (LCM) and GCF that 16 and 80, i.e. GCF × LCM = 16 × 80.

How to find the GCF the 16 and also 80 by Long division Method?

To find the GCF that 16, 80 making use of long department method, 80 is divided by 16. The matching divisor (16) once remainder amounts to 0 is taken as GCF.

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If the GCF of 80 and 16 is 16, discover its LCM.

GCF(80, 16) × LCM(80, 16) = 80 × 16Since the GCF of 80 and also 16 = 16⇒ 16 × LCM(80, 16) = 1280Therefore, LCM = 80☛ Greatest usual Factor Calculator