GCF of 16 and 20 is the largest possible number that divides 16 and 20 precisely without any kind of remainder. The components of 16 and also 20 are 1, 2, 4, 8, 16 and also 1, 2, 4, 5, 10, 20 respectively. There are 3 commonly supplied methods to find the GCF of 16 and also 20 - Euclidean algorithm, long department, and also prime factorization.

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

Answer: GCF of 16 and 20 is 4.

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Explanation:

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


The methods to discover the GCF of 16 and also 20 are described below.

Prime Factorization MethodListing Typical FactorsLong Division Method

GCF of 16 and 20 by Prime Factorization

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

GCF of 16 and also 20 by Listing Usual Factors

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

There are 3 widespread determinants of 16 and 20, that are 1, 2, and 4. Therefore, the biggest common factor of 16 and 20 is 4.

GCF of 16 and also 20 by Long Division

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

Tip 2: Since the remainder ≠ 0, we will divide the divisor of action 1 (16) by the remainder (4).Tip 3: Repeat this procedure till the remainder = 0.

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

☛ Also Check:


GCF of 16 and also 20 Examples


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

Solution:

The greatest number that divides 16 and 20 exactly is their greatest widespread element, i.e. GCF of 16 and also 20.⇒ Factors of 16 and also 20:

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

Because of this, the GCF of 16 and also 20 is 4.


Example 2: The product of 2 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 = 320/4Because of this, the LCM is 80.


Example 3: Find the GCF of 16 and also 20, if their LCM is 80.

Solution:

∵ LCM × GCF = 16 × 20⇒ GCF(16, 20) = (16 × 20)/80 = 4Because of this, the greatest widespread variable of 16 and also 20 is 4.


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FAQs on GCF of 16 and 20

What is the GCF of 16 and also 20?

The GCF of 16 and also 20 is 4. To calculate the GCF of 16 and also 20, we should variable each number (components of 16 = 1, 2, 4, 8, 16; determinants of 20 = 1, 2, 4, 5, 10, 20) and select the greatest variable that specifically divides both 16 and 20, i.e., 4.

How to Find the GCF of 16 and also 20 by Prime Factorization?

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

How to Find the GCF of 16 and 20 by Long Division Method?

To uncover the GCF of 16, 20 making use of long division approach, 20 is divided by 16. The equivalent divisor (4) as soon as remainder equates to 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 also 16 = 4⇒ 4 × LCM(20, 16) = 320As such, LCM = 80☛ GCF Calculator

What is the Relation Between LCM and also GCF of 16, 20?

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

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What are the Methods to Find GCF of 16 and 20?

There are 3 commonly provided approaches to discover the GCF of 16 and also 20.