GCF of 16 and 20 is the largest possible number that divides 16 and also 20 specifically without any type of remainder. The factors of 16 and also 20 room 1, 2, 4, 8, 16 and 1, 2, 4, 5, 10, 20 respectively. There space 3 commonly used techniques to discover the GCF the 16 and 20 - Euclidean algorithm, long division, and prime factorization.

You are watching: Greatest common factor of 16 and 20

 1 GCF that 16 and 20 2 List of Methods 3 Solved Examples 4 FAQs

Answer: GCF of 16 and 20 is 4.

Explanation:

The GCF of 2 non-zero integers, x(16) and y(20), is the best positive creature m(4) that divides both x(16) and also y(20) without any type of remainder.

The techniques to uncover the GCF the 16 and also 20 are described below.

Prime factorization MethodListing usual FactorsLong department Method

GCF of 16 and 20 by prime Factorization

Prime factorization of 16 and also 20 is (2 × 2 × 2 × 2) and also (2 × 2 × 5) respectively. Together visible, 16 and 20 have common prime factors. Hence, the GCF the 16 and also 20 is 2 × 2 = 4.

GCF that 16 and 20 through Listing usual Factors

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

There room 3 common factors that 16 and 20, that are 1, 2, and also 4. Therefore, the greatest typical factor that 16 and also 20 is 4.

GCF that 16 and 20 by long Division

GCF of 16 and also 20 is the divisor that we get when the remainder becomes 0 after doing long department repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will divide the divisor of action 1 (16) through the remainder (4).Step 3: Repeat this procedure until the remainder = 0.

The matching divisor (4) is the GCF of 16 and 20.

GCF of 16 and 20 Examples

Example 1: find the greatest number that divides 16 and 20 exactly.

Solution:

The biggest number the divides 16 and 20 exactly is your greatest common factor, i.e. GCF of 16 and also 20.⇒ components of 16 and also 20:

Factors of 16 = 1, 2, 4, 8, 16Factors the 20 = 1, 2, 4, 5, 10, 20

Therefore, the GCF the 16 and also 20 is 4.

Example 2: The product of 2 numbers is 320. If your GCF is 4, what is your LCM?

Solution:

Given: GCF = 4 and product of number = 320∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 320/4Therefore, the LCM is 80.

Example 3: uncover the GCF the 16 and 20, if their LCM is 80.

Solution:

∵ LCM × GCF = 16 × 20⇒ GCF(16, 20) = (16 × 20)/80 = 4Therefore, the greatest usual factor of 16 and also 20 is 4.

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FAQs ~ above GCF of 16 and 20

What is the GCF the 16 and also 20?

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

How to find the GCF of 16 and 20 by prime Factorization?

To uncover the GCF the 16 and also 20, we will discover the prime factorization of the provided numbers, i.e. 16 = 2 × 2 × 2 × 2; 20 = 2 × 2 × 5.⇒ since 2, 2 are usual terms in the element factorization that 16 and 20. Hence, GCF(16, 20) = 2 × 2 = 4☛ element Numbers

How to discover the GCF that 16 and 20 through Long department Method?

To discover the GCF that 16, 20 using long division method, 20 is split by 16. The corresponding divisor (4) when remainder amounts to 0 is taken together GCF.

If the GCF the 20 and also 16 is 4, uncover its LCM.

GCF(20, 16) × LCM(20, 16) = 20 × 16Since the GCF that 20 and also 16 = 4⇒ 4 × LCM(20, 16) = 320Therefore, LCM = 80☛ GCF Calculator

What is the Relation in between LCM and GCF of 16, 20?

The adhering to equation can be offered to refer the relation between LCM (Least usual Multiple) and also GCF of 16 and 20, i.e. GCF × LCM = 16 × 20.

See more: 6 Molecular Geometry Structures And What Is The Electron Geometry Of Xef4?

What space the techniques to discover GCF that 16 and 20?

There room three typically used methods to find the GCF that 16 and 20.