GCF that 39 and 65 is the largest feasible number that divides 39 and also 65 exactly without any type of remainder. The components of 39 and 65 room 1, 3, 13, 39 and 1, 5, 13, 65 respectively. There space 3 commonly used methods to find the GCF that 39 and 65 - long division, Euclidean algorithm, and prime factorization.

You are watching: What is the greatest common factor of 65 and 39

1.GCF of 39 and also 65
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF that 39 and also 65 is 13.

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Explanation:

The GCF of two non-zero integers, x(39) and also y(65), is the greatest positive essence m(13) that divides both x(39) and y(65) without any kind of remainder.


The methods to find the GCF the 39 and also 65 are described below.

Prime factorization MethodLong department MethodListing typical Factors

GCF the 39 and 65 by element Factorization

Prime administer of 39 and also 65 is (3 × 13) and (5 × 13) respectively. Together visible, 39 and 65 have only one typical prime variable i.e. 13. Hence, the GCF of 39 and also 65 is 13.

GCF of 39 and also 65 by lengthy Division

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GCF that 39 and 65 is the divisor the we get when the remainder becomes 0 after ~ doing long division repeatedly.

Step 2: since the remainder ≠ 0, we will divide the divisor of action 1 (39) through the remainder (26).Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (13) is the GCF that 39 and also 65.

GCF the 39 and 65 by Listing typical Factors

Factors of 39: 1, 3, 13, 39Factors of 65: 1, 5, 13, 65

There space 2 common factors that 39 and 65, that space 1 and 13. Therefore, the greatest usual factor that 39 and also 65 is 13.

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GCF of 39 and also 65 Examples


Example 1: uncover the biggest number that divides 39 and also 65 exactly.

Solution:

The greatest number the divides 39 and 65 specifically is your greatest usual factor, i.e. GCF that 39 and 65.⇒ components of 39 and 65:

Factors that 39 = 1, 3, 13, 39Factors the 65 = 1, 5, 13, 65

Therefore, the GCF of 39 and also 65 is 13.


Example 2: find the GCF the 39 and also 65, if your LCM is 195.

Solution:

∵ LCM × GCF = 39 × 65⇒ GCF(39, 65) = (39 × 65)/195 = 13Therefore, the greatest common factor the 39 and 65 is 13.


Example 3: For 2 numbers, GCF = 13 and LCM = 195. If one number is 65, uncover the other number.

Solution:

Given: GCF (y, 65) = 13 and LCM (y, 65) = 195∵ GCF × LCM = 65 × (y)⇒ y = (GCF × LCM)/65⇒ y = (13 × 195)/65⇒ y = 39Therefore, the other number is 39.


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FAQs top top GCF that 39 and also 65

What is the GCF of 39 and 65?

The GCF the 39 and 65 is 13. To calculate the greatest usual factor that 39 and 65, we require to variable each number (factors that 39 = 1, 3, 13, 39; determinants of 65 = 1, 5, 13, 65) and choose the greatest element that specifically divides both 39 and 65, i.e., 13.

What space the methods to uncover GCF of 39 and also 65?

There space three generally used methods to discover the GCF of 39 and 65.

By Listing usual FactorsBy lengthy DivisionBy element Factorization

What is the Relation in between LCM and also GCF of 39, 65?

The adhering to equation have the right to be provided to express the relation between LCM and GCF the 39 and 65, i.e. GCF × LCM = 39 × 65.

How to find the GCF the 39 and also 65 by Long division Method?

To find the GCF of 39, 65 using long department method, 65 is split by 39. The equivalent divisor (13) when remainder equals 0 is taken as GCF.

See more: What Does Todavia Mean In English, English Translation Of “Todavia”

If the GCF that 65 and also 39 is 13, discover its LCM.

GCF(65, 39) × LCM(65, 39) = 65 × 39Since the GCF the 65 and 39 = 13⇒ 13 × LCM(65, 39) = 2535Therefore, LCM = 195☛ Greatest usual Factor Calculator

How to discover the GCF the 39 and 65 by prime Factorization?

To uncover the GCF of 39 and also 65, us will discover the prime factorization the the provided numbers, i.e. 39 = 3 × 13; 65 = 5 × 13.⇒ since 13 is the only typical prime element of 39 and 65. Hence, GCF (39, 65) = 13.☛ What space Prime Numbers?