GCF the 8 and 36 is the largest feasible number that divides 8 and also 36 specifically without any remainder. The factors of 8 and also 36 room 1, 2, 4, 8 and also 1, 2, 3, 4, 6, 9, 12, 18, 36 respectively. There are 3 commonly used methods to uncover the GCF of 8 and also 36 - element factorization, Euclidean algorithm, and also long division.

You are watching: What is the greatest common factor of 8 and 36

1.GCF that 8 and also 36
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF the 8 and also 36 is 4.

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Explanation:

The GCF of 2 non-zero integers, x(8) and y(36), is the best positive essence m(4) the divides both x(8) and y(36) without any type of remainder.


Let's look in ~ the different methods for finding the GCF the 8 and also 36.

Listing usual FactorsPrime administer MethodLong department Method

GCF that 8 and 36 by Listing usual Factors

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Factors that 8: 1, 2, 4, 8Factors that 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

There space 3 common factors of 8 and also 36, that are 1, 2, and also 4. Therefore, the greatest typical factor of 8 and 36 is 4.

GCF that 8 and 36 by prime Factorization

Prime factorization of 8 and 36 is (2 × 2 × 2) and also (2 × 2 × 3 × 3) respectively. As visible, 8 and 36 have usual prime factors. Hence, the GCF that 8 and also 36 is 2 × 2 = 4.

GCF the 8 and also 36 by lengthy Division

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GCF that 8 and 36 is the divisor that we get when the remainder i do not care 0 ~ doing long department repeatedly.

Step 2: since the remainder ≠ 0, we will divide the divisor of action 1 (8) by the remainder (4).Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (4) is the GCF of 8 and also 36.

☛ likewise Check:


GCF of 8 and 36 Examples


Example 1: For 2 numbers, GCF = 4 and LCM = 72. If one number is 8, uncover the various other number.

Solution:

Given: GCF (z, 8) = 4 and LCM (z, 8) = 72∵ GCF × LCM = 8 × (z)⇒ z = (GCF × LCM)/8⇒ z = (4 × 72)/8⇒ z = 36Therefore, the other number is 36.


Example 2: discover the GCF the 8 and also 36, if their LCM is 72.

Solution:

∵ LCM × GCF = 8 × 36⇒ GCF(8, 36) = (8 × 36)/72 = 4Therefore, the greatest typical factor that 8 and 36 is 4.


Example 3: find the greatest number the divides 8 and 36 exactly.

Solution:

The biggest number the divides 8 and 36 exactly is their greatest common factor, i.e. GCF that 8 and also 36.⇒ factors of 8 and also 36:

Factors that 8 = 1, 2, 4, 8Factors the 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36

Therefore, the GCF the 8 and 36 is 4.


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FAQs on GCF of 8 and also 36

What is the GCF the 8 and 36?

The GCF of 8 and 36 is 4. To calculation the greatest typical factor (GCF) of 8 and also 36, we require to variable each number (factors of 8 = 1, 2, 4, 8; determinants of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36) and also choose the greatest variable that specifically divides both 8 and 36, i.e., 4.

If the GCF that 36 and 8 is 4, find its LCM.

GCF(36, 8) × LCM(36, 8) = 36 × 8Since the GCF of 36 and 8 = 4⇒ 4 × LCM(36, 8) = 288Therefore, LCM = 72☛ GCF Calculator

How to discover the GCF that 8 and also 36 by prime Factorization?

To find the GCF that 8 and 36, we will find the prime factorization of the given numbers, i.e. 8 = 2 × 2 × 2; 36 = 2 × 2 × 3 × 3.⇒ since 2, 2 are typical terms in the prime factorization of 8 and also 36. Hence, GCF(8, 36) = 2 × 2 = 4☛ element Number

What is the Relation between LCM and also GCF of 8, 36?

The following equation have the right to be supplied to express the relation in between LCM (Least usual Multiple) and also GCF of 8 and 36, i.e. GCF × LCM = 8 × 36.

What are the methods to discover GCF of 8 and also 36?

There space three commonly used methods to uncover the GCF that 8 and also 36.

See more: Physic A Single Kind Of Matter That Is Pure Substances And Mixtures

By element FactorizationBy Euclidean AlgorithmBy lengthy Division

How to find the GCF of 8 and 36 through Long department Method?

To find the GCF the 8, 36 utilizing long department method, 36 is separated by 8. The matching divisor (4) when remainder equates to 0 is taken together GCF.