GCF that 28 and also 35 is the largest possible number that divides 28 and 35 precisely without any type of remainder. The determinants of 28 and also 35 are 1, 2, 4, 7, 14, 28 and 1, 5, 7, 35 respectively. There are 3 generally used methods to discover the GCF of 28 and 35 - prime factorization, Euclidean algorithm, and long division.

You are watching: What is the greatest common factor of 35 and 28

1.GCF the 28 and 35
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF the 28 and 35 is 7

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Explanation:

The GCF of two non-zero integers, x(28) and also y(35), is the best positive integer m(7) that divides both x(28) and also y(35) without any remainder.


The methods to find the GCF the 28 and also 35 are explained below.

Long department MethodPrime administer MethodListing common Factors

GCF of 28 and also 35 by lengthy Division

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GCF the 28 and 35 is the divisor the we get when the remainder i do not care 0 after ~ doing long department repeatedly.

Step 2: since the remainder ≠ 0, we will certainly divide the divisor of step 1 (28) by the remainder (7).Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (7) is the GCF of 28 and 35.

GCF the 28 and 35 by element Factorization

Prime administer of 28 and also 35 is (2 × 2 × 7) and also (5 × 7) respectively. As visible, 28 and also 35 have actually only one typical prime element i.e. 7. Hence, the GCF that 28 and 35 is 7.

GCF the 28 and also 35 by Listing usual Factors

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Factors the 28: 1, 2, 4, 7, 14, 28Factors that 35: 1, 5, 7, 35

There room 2 typical factors the 28 and 35, that space 1 and 7. Therefore, the greatest usual factor of 28 and also 35 is 7.

☛ also Check:


GCF the 28 and also 35 Examples


Example 1: The product of two numbers is 980. If their GCF is 7, what is their LCM?

Solution:

Given: GCF = 7 and product of number = 980∵ LCM × GCF = product the numbers⇒ LCM = Product/GCF = 980/7Therefore, the LCM is 140.


Example 2: For two numbers, GCF = 7 and LCM = 140. If one number is 28, find the various other number.

Solution:

Given: GCF (z, 28) = 7 and LCM (z, 28) = 140∵ GCF × LCM = 28 × (z)⇒ z = (GCF × LCM)/28⇒ z = (7 × 140)/28⇒ z = 35Therefore, the various other number is 35.


Example 3: uncover the GCF the 28 and also 35, if their LCM is 140.

Solution:

∵ LCM × GCF = 28 × 35⇒ GCF(28, 35) = (28 × 35)/140 = 7Therefore, the greatest common factor of 28 and 35 is 7.


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FAQs on GCF of 28 and 35

What is the GCF of 28 and also 35?

The GCF that 28 and 35 is 7. To calculation the GCF (Greatest common Factor) the 28 and 35, we need to variable each number (factors that 28 = 1, 2, 4, 7, 14, 28; components of 35 = 1, 5, 7, 35) and also choose the greatest aspect that specifically divides both 28 and also 35, i.e., 7.

How to discover the GCF that 28 and also 35 by prime Factorization?

To uncover the GCF that 28 and also 35, us will discover the prime factorization that the offered numbers, i.e. 28 = 2 × 2 × 7; 35 = 5 × 7.⇒ since 7 is the only typical prime aspect of 28 and also 35. Hence, GCF (28, 35) = 7.☛ prime Number

If the GCF the 35 and 28 is 7, find its LCM.

GCF(35, 28) × LCM(35, 28) = 35 × 28Since the GCF the 35 and 28 = 7⇒ 7 × LCM(35, 28) = 980Therefore, LCM = 140☛ Greatest usual Factor Calculator

What space the approaches to uncover GCF the 28 and 35?

There space three commonly used methods to uncover the GCF that 28 and 35.

By element FactorizationBy Euclidean AlgorithmBy lengthy Division

How to find the GCF the 28 and also 35 by Long division Method?

To discover the GCF the 28, 35 using long department method, 35 is divided by 28. The equivalent divisor (7) as soon as remainder equals 0 is taken together GCF.

See more: What Is The Greatest Common Factor Of 24 And 72 ? Greatest Common Factor Of 24, 72

What is the Relation between LCM and also GCF the 28, 35?

The following equation deserve to be used to refer the relation in between Least typical Multiple (LCM) and GCF the 28 and 35, i.e. GCF × LCM = 28 × 35.