GCF of 15 and 20 is the largest possible number the divides 15 and also 20 precisely without any remainder. The components of 15 and also 20 room 1, 3, 5, 15 and also 1, 2, 4, 5, 10, 20 respectively. There are 3 generally used methods to find the GCF of 15 and 20 - element factorization, lengthy division, and Euclidean algorithm.

You are watching: What is the greatest common factor of 15

1.GCF that 15 and 20
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF the 15 and 20 is 5.

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Explanation:

The GCF of two non-zero integers, x(15) and y(20), is the best positive essence m(5) the divides both x(15) and y(20) without any type of remainder.


The approaches to uncover the GCF of 15 and also 20 are described below.

Prime factorization MethodLong division MethodListing typical Factors

GCF that 15 and also 20 by prime Factorization

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Prime factorization of 15 and 20 is (3 × 5) and (2 × 2 × 5) respectively. As visible, 15 and 20 have only one usual prime variable i.e. 5. Hence, the GCF the 15 and also 20 is 5.

GCF that 15 and also 20 by lengthy Division

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GCF the 15 and also 20 is the divisor the we obtain 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 step 1 (15) by the remainder (5).Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (5) is the GCF of 15 and also 20.

GCF of 15 and 20 through Listing usual Factors

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Factors that 15: 1, 3, 5, 15Factors that 20: 1, 2, 4, 5, 10, 20

There room 2 usual factors of 15 and also 20, that are 1 and also 5. Therefore, the greatest usual factor that 15 and 20 is 5.

☛ likewise Check:


GCF of 15 and also 20 Examples


Example 1: find the greatest number the divides 15 and also 20 exactly.

Solution:

The greatest number the divides 15 and also 20 specifically is their greatest typical factor, i.e. GCF of 15 and also 20.⇒ determinants of 15 and also 20:

Factors of 15 = 1, 3, 5, 15Factors the 20 = 1, 2, 4, 5, 10, 20

Therefore, the GCF the 15 and 20 is 5.


Example 2: discover the GCF that 15 and 20, if their LCM is 60.

Solution:

∵ LCM × GCF = 15 × 20⇒ GCF(15, 20) = (15 × 20)/60 = 5Therefore, the greatest common factor the 15 and also 20 is 5.


Example 3: For two numbers, GCF = 5 and also LCM = 60. If one number is 20, uncover the various other number.

Solution:

Given: GCF (z, 20) = 5 and also LCM (z, 20) = 60∵ GCF × LCM = 20 × (z)⇒ z = (GCF × LCM)/20⇒ z = (5 × 60)/20⇒ z = 15Therefore, the other number is 15.


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FAQs ~ above GCF of 15 and also 20

What is the GCF of 15 and 20?

The GCF the 15 and also 20 is 5. To calculate the GCF (Greatest common Factor) of 15 and 20, we require to element each number (factors that 15 = 1, 3, 5, 15; components of 20 = 1, 2, 4, 5, 10, 20) and also choose the greatest variable that precisely divides both 15 and 20, i.e., 5.

How to uncover the GCF the 15 and 20 by element Factorization?

To uncover the GCF that 15 and 20, we will uncover the element factorization that the provided numbers, i.e. 15 = 3 × 5; 20 = 2 × 2 × 5.⇒ since 5 is the only usual prime element of 15 and 20. Hence, GCF (15, 20) = 5.☛ prime Numbers

How to uncover the GCF the 15 and also 20 through Long division Method?

To find the GCF that 15, 20 utilizing long division method, 20 is separated by 15. The equivalent divisor (5) as soon as remainder amounts to 0 is taken as GCF.

What space the techniques to find GCF that 15 and 20?

There room three typically used methods to find the GCF that 15 and also 20.

By Euclidean AlgorithmBy element FactorizationBy long Division

If the GCF of 20 and also 15 is 5, uncover its LCM.

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GCF(20, 15) × LCM(20, 15) = 20 × 15Since the GCF the 20 and also 15 = 5⇒ 5 × LCM(20, 15) = 300Therefore, LCM = 60☛ Greatest typical Factor Calculator

What is the Relation in between LCM and GCF of 15, 20?

The adhering to equation can be offered to to express the relation between LCM and GCF that 15 and 20, i.e. GCF × LCM = 15 × 20.