GCF that 16 and 48 is the largest feasible number that divides 16 and also 48 exactly without any kind of remainder. The determinants of 16 and 48 space 1, 2, 4, 8, 16 and also 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 respectively. There space 3 generally used techniques to uncover the GCF of 16 and 48 - long division, Euclidean algorithm, and also prime factorization.

You are watching: What is the greatest common factor of 16 and 48

1.GCF the 16 and 48
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF the 16 and also 48 is 16.

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Explanation:

The GCF of 2 non-zero integers, x(16) and y(48), is the best positive creature m(16) the divides both x(16) and also y(48) without any type of remainder.


Let's look at the different methods for finding the GCF of 16 and also 48.

Long department MethodListing typical FactorsPrime administer Method

GCF the 16 and also 48 by lengthy Division

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GCF that 16 and also 48 is the divisor that we acquire when the remainder becomes 0 after ~ doing long department repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (16) is the GCF the 16 and also 48.

The matching divisor (16) is the GCF that 16 and 48.

GCF that 16 and 48 by Listing typical Factors

Factors that 16: 1, 2, 4, 8, 16Factors the 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

There are 5 common factors of 16 and also 48, that room 1, 2, 4, 8, and also 16. Therefore, the greatest usual factor of 16 and also 48 is 16.

GCF the 16 and 48 by prime Factorization

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Prime factorization of 16 and also 48 is (2 × 2 × 2 × 2) and also (2 × 2 × 2 × 2 × 3) respectively. Together visible, 16 and 48 have typical prime factors. Hence, the GCF that 16 and 48 is 2 × 2 × 2 × 2 = 16.

☛ additionally Check:


GCF that 16 and 48 Examples


Example 1: uncover the greatest number the divides 16 and 48 exactly.

Solution:

The best number that divides 16 and also 48 exactly is your greatest typical factor, i.e. GCF the 16 and 48.⇒ determinants of 16 and 48:

Factors the 16 = 1, 2, 4, 8, 16Factors that 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Therefore, the GCF that 16 and also 48 is 16.


Example 2: find the GCF the 16 and also 48, if their LCM is 48.

Solution:

∵ LCM × GCF = 16 × 48⇒ GCF(16, 48) = (16 × 48)/48 = 16Therefore, the greatest usual factor of 16 and 48 is 16.


Example 3: The product of 2 numbers is 768. If your GCF is 16, what is your LCM?

Solution:

Given: GCF = 16 and product of number = 768∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 768/16Therefore, the LCM is 48.


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FAQs top top GCF that 16 and 48

What is the GCF that 16 and 48?

The GCF that 16 and 48 is 16. To calculation the GCF that 16 and 48, we need to variable each number (factors the 16 = 1, 2, 4, 8, 16; components of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48) and also choose the greatest element that precisely divides both 16 and 48, i.e., 16.

How to uncover the GCF that 16 and also 48 through Long division Method?

To find the GCF the 16, 48 utilizing long department method, 48 is separated by 16. The corresponding divisor (16) as soon as remainder amounts to 0 is taken as GCF.

What is the Relation in between LCM and also GCF that 16, 48?

The complying with equation can be used to express the relation between LCM (Least usual Multiple) and also GCF that 16 and also 48, i.e. GCF × LCM = 16 × 48.

How to uncover the GCF of 16 and 48 by prime Factorization?

To find the GCF the 16 and also 48, us will uncover the element factorization of the given numbers, i.e. 16 = 2 × 2 × 2 × 2; 48 = 2 × 2 × 2 × 2 × 3.⇒ since 2, 2, 2, 2 are typical terms in the element factorization the 16 and also 48. Hence, GCF(16, 48) = 2 × 2 × 2 × 2 = 16☛ What is a prime Number?

What are the techniques to discover GCF that 16 and 48?

There space three frequently used techniques to uncover the GCF the 16 and also 48.

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By prime FactorizationBy Listing usual FactorsBy lengthy Division

If the GCF that 48 and also 16 is 16, discover its LCM.

GCF(48, 16) × LCM(48, 16) = 48 × 16Since the GCF that 48 and 16 = 16⇒ 16 × LCM(48, 16) = 768Therefore, LCM = 48☛ GCF Calculator