GCF the 28 and 35 is the largest feasible number that divides 28 and 35 exactly without any kind of remainder. The factors of 28 and also 35 space 1, 2, 4, 7, 14, 28 and 1, 5, 7, 35 respectively. There are 3 typically used methods to uncover the GCF the 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 also 35
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF of 28 and also 35 is 7

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Explanation:

The GCF of two non-zero integers, x(28) and y(35), is the greatest positive creature m(7) the divides both x(28) and y(35) without any kind of remainder.


The approaches to discover the GCF that 28 and also 35 are described below.

Long department MethodPrime administer MethodListing usual Factors

GCF that 28 and 35 by lengthy Division

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

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

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

GCF the 28 and 35 by element Factorization

Prime administrate of 28 and also 35 is (2 × 2 × 7) and (5 × 7) respectively. Together visible, 28 and 35 have only one usual prime variable i.e. 7. Hence, the GCF the 28 and also 35 is 7.

GCF that 28 and 35 by Listing common Factors

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

There space 2 common factors the 28 and also 35, that space 1 and also 7. Therefore, the greatest common factor that 28 and 35 is 7.

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GCF that 28 and 35 Examples


Example 1: The product of 2 numbers is 980. If their GCF is 7, what is your LCM?

Solution:

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


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

Solution:

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


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

Solution:

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


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FAQs on GCF the 28 and 35

What is the GCF the 28 and also 35?

The GCF that 28 and also 35 is 7. To calculate the GCF (Greatest common Factor) of 28 and 35, we require to factor each number (factors of 28 = 1, 2, 4, 7, 14, 28; determinants of 35 = 1, 5, 7, 35) and choose the greatest element that precisely divides both 28 and also 35, i.e., 7.

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

To discover the GCF that 28 and 35, us will uncover the prime factorization the the given numbers, i.e. 28 = 2 × 2 × 7; 35 = 5 × 7.⇒ due to the fact that 7 is the only typical prime element of 28 and 35. Hence, GCF (28, 35) = 7.☛ element Number

If the GCF that 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 common Factor Calculator

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

There are three commonly used techniques to find the GCF of 28 and 35.

By element FactorizationBy Euclidean AlgorithmBy long Division

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

To uncover the GCF of 28, 35 utilizing long department method, 35 is separated by 28. The equivalent divisor (7) when remainder equals 0 is taken as GCF.

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

The following equation have the right to be used to to express the relation in between Least common Multiple (LCM) and GCF the 28 and 35, i.e. GCF × LCM = 28 × 35.