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

You are watching: What is the gcf of 16 and 20

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

Answer: GCF that 16 and 20 is 4.

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Explanation:

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


The techniques to discover the GCF of 16 and also 20 are defined below.

Prime administer MethodListing typical FactorsLong department Method

GCF the 16 and 20 by prime Factorization

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

GCF of 16 and also 20 through Listing usual Factors

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Factors of 16: 1, 2, 4, 8, 16Factors of 20: 1, 2, 4, 5, 10, 20

There room 3 typical factors of 16 and 20, that room 1, 2, and 4. Therefore, the greatest usual factor of 16 and 20 is 4.

GCF the 16 and also 20 by lengthy Division

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GCF of 16 and 20 is the divisor the we acquire 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 divide the divisor of action 1 (16) through the remainder (4).Step 3: Repeat this process until the remainder = 0.

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

☛ additionally Check:


GCF of 16 and also 20 Examples


Example 1: find the best number the divides 16 and also 20 exactly.

Solution:

The biggest number that divides 16 and 20 exactly is their greatest usual factor, i.e. GCF of 16 and also 20.⇒ determinants of 16 and also 20:

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

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


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

Solution:

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


Example 3: discover the GCF the 16 and also 20, if your LCM is 80.

Solution:

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


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FAQs top top GCF of 16 and 20

What is the GCF the 16 and 20?

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

How to find the GCF the 16 and also 20 by element Factorization?

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

How to find the GCF that 16 and also 20 through Long division Method?

To find the GCF of 16, 20 using long division method, 20 is split by 16. The corresponding divisor (4) once remainder equals 0 is taken as GCF.

If the GCF of 20 and 16 is 4, find its LCM.

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

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

The adhering to equation have the right to be supplied to express the relation in between LCM (Least usual Multiple) and also GCF the 16 and also 20, i.e. GCF × LCM = 16 × 20.

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What room the techniques to find GCF of 16 and 20?

There space three generally used methods to uncover the GCF of 16 and also 20.