GCF of 25 and 35 is the largest feasible number the divides 25 and 35 precisely without any remainder. The determinants of 25 and 35 space 1, 5, 25 and also 1, 5, 7, 35 respectively. There are 3 generally used approaches to discover the GCF of 25 and 35 - prime factorization, lengthy division, and also Euclidean algorithm.

You are watching: Greatest common factor of 25 and 35

1.GCF that 25 and 35
2.List of Methods
3.Solved Examples
4.FAQs

Answer: GCF of 25 and also 35 is 5.

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Explanation:

The GCF of two non-zero integers, x(25) and y(35), is the greatest positive essence m(5) that divides both x(25) and y(35) without any kind of remainder.


The methods to discover the GCF that 25 and 35 are described below.

Listing usual FactorsPrime administer MethodLong division Method

GCF that 25 and 35 by Listing usual Factors

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Factors that 25: 1, 5, 25Factors that 35: 1, 5, 7, 35

There room 2 usual factors the 25 and also 35, that space 1 and also 5. Therefore, the greatest common factor that 25 and also 35 is 5.

GCF of 25 and also 35 by element Factorization

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Prime factorization of 25 and 35 is (5 × 5) and (5 × 7) respectively. As visible, 25 and 35 have actually only one common prime element i.e. 5. Hence, the GCF the 25 and also 35 is 5.

GCF that 25 and 35 by long Division

GCF the 25 and 35 is the divisor that we gain when the remainder becomes 0 after ~ doing long division repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will divide the divisor of step 1 (25) by the remainder (10).Step 3: Repeat this procedure until the remainder = 0.

The corresponding divisor (5) is the GCF the 25 and 35.

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GCF that 25 and also 35 Examples


Example 1: find the biggest number that divides 25 and 35 exactly.

Solution:

The biggest number that divides 25 and also 35 specifically is their greatest common factor, i.e. GCF that 25 and also 35.⇒ determinants of 25 and 35:

Factors of 25 = 1, 5, 25Factors that 35 = 1, 5, 7, 35

Therefore, the GCF that 25 and 35 is 5.


Example 2: uncover the GCF the 25 and also 35, if their LCM is 175.

Solution:

∵ LCM × GCF = 25 × 35⇒ GCF(25, 35) = (25 × 35)/175 = 5Therefore, the greatest common factor that 25 and also 35 is 5.


Example 3: For two numbers, GCF = 5 and also LCM = 175. If one number is 35, uncover the other number.

Solution:

Given: GCF (z, 35) = 5 and also LCM (z, 35) = 175∵ GCF × LCM = 35 × (z)⇒ z = (GCF × LCM)/35⇒ z = (5 × 175)/35⇒ z = 25Therefore, the various other number is 25.


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FAQs on GCF the 25 and 35

What is the GCF that 25 and 35?

The GCF the 25 and 35 is 5. To calculate the GCF that 25 and 35, we need to variable each number (factors of 25 = 1, 5, 25; factors of 35 = 1, 5, 7, 35) and choose the greatest factor that precisely divides both 25 and 35, i.e., 5.

If the GCF of 35 and also 25 is 5, uncover its LCM.

GCF(35, 25) × LCM(35, 25) = 35 × 25Since the GCF of 35 and 25 = 5⇒ 5 × LCM(35, 25) = 875Therefore, LCM = 175☛ Greatest typical Factor Calculator

What is the Relation in between LCM and also GCF that 25, 35?

The following equation have the right to be offered to to express the relation in between LCM and also GCF the 25 and also 35, i.e. GCF × LCM = 25 × 35.

How to uncover the GCF the 25 and 35 through Long division Method?

To uncover the GCF the 25, 35 making use of long division method, 35 is divided by 25. The corresponding divisor (5) when remainder amounts to 0 is taken as GCF.

See more: 23 Out Of 30 As A Percentage ? 23 Is What Percent Of 30

What are the methods to find GCF that 25 and 35?

There are three generally used methods to find the GCF that 25 and 35.

By Listing common FactorsBy long DivisionBy prime Factorization

How to find the GCF that 25 and 35 by prime Factorization?

To find the GCF the 25 and 35, we will find the element factorization the the provided numbers, i.e. 25 = 5 × 5; 35 = 5 × 7.⇒ since 5 is the only usual prime variable of 25 and also 35. Hence, GCF (25, 35) = 5.☛ What space Prime Numbers?