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

You are watching: What is the greatest common factor of 12 and 36

1.GCF that 12 and 36
2.List the Methods
3.Solved Examples
4.FAQs

Answer: GCF the 12 and 36 is 12.

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Explanation:

The GCF of two non-zero integers, x(12) and also y(36), is the biggest positive creature m(12) that divides both x(12) and y(36) without any remainder.


The approaches to discover the GCF of 12 and 36 are defined below.

Listing typical FactorsPrime administer MethodLong department Method

GCF of 12 and 36 through Listing common Factors

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

There are 6 common factors that 12 and 36, that room 1, 2, 3, 4, 6, and also 12. Therefore, the greatest common factor the 12 and also 36 is 12.

GCF that 12 and 36 by element Factorization

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Prime factorization of 12 and 36 is (2 × 2 × 3) and also (2 × 2 × 3 × 3) respectively. As visible, 12 and 36 have usual prime factors. Hence, the GCF the 12 and 36 is 2 × 2 × 3 = 12.

GCF the 12 and 36 by long Division

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GCF the 12 and also 36 is the divisor that we gain when the remainder becomes 0 after ~ doing long division repeatedly.

Step 2: since the remainder = 0, the divisor (12) is the GCF the 12 and 36.

The corresponding divisor (12) is the GCF that 12 and 36.

☛ likewise Check:


GCF the 12 and 36 Examples


Example 1: uncover the GCF the 12 and 36, if their LCM is 36.

Solution:

∵ LCM × GCF = 12 × 36⇒ GCF(12, 36) = (12 × 36)/36 = 12Therefore, the greatest usual factor the 12 and also 36 is 12.


Example 2: The product of two numbers is 432. If their GCF is 12, what is their LCM?

Solution:

Given: GCF = 12 and also product of numbers = 432∵ LCM × GCF = product that numbers⇒ LCM = Product/GCF = 432/12Therefore, the LCM is 36.


Example 3: uncover the greatest number the divides 12 and 36 exactly.

Solution:

The biggest number that divides 12 and also 36 precisely is your greatest usual factor, i.e. GCF the 12 and also 36.⇒ determinants of 12 and also 36:

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

Therefore, the GCF of 12 and also 36 is 12.


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FAQs ~ above GCF of 12 and 36

What is the GCF that 12 and also 36?

The GCF the 12 and 36 is 12. To calculate the greatest usual factor (GCF) of 12 and 36, we need to variable each number (factors the 12 = 1, 2, 3, 4, 6, 12; factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18, 36) and choose the greatest variable that precisely divides both 12 and 36, i.e., 12.

What room the methods to uncover GCF the 12 and 36?

There room three frequently used approaches to find the GCF that 12 and also 36.

By element FactorizationBy lengthy DivisionBy Listing common Factors

What is the Relation in between LCM and also GCF that 12, 36?

The following equation deserve to be offered to express the relation in between LCM and also GCF that 12 and 36, i.e. GCF × LCM = 12 × 36.

If the GCF of 36 and also 12 is 12, discover its LCM.

See more: What Type Of Reaction Takes Place When Atoms Or Molecules Rearrange To Form New Substances?

GCF(36, 12) × LCM(36, 12) = 36 × 12Since the GCF the 36 and 12 = 12⇒ 12 × LCM(36, 12) = 432Therefore, LCM = 36☛ GCF Calculator

How to find the GCF of 12 and 36 through Long division Method?

To uncover the GCF of 12, 36 making use of long division method, 36 is split by 12. The corresponding divisor (12) when remainder equals 0 is taken as GCF.

How to discover the GCF of 12 and 36 by element Factorization?

To find the GCF of 12 and also 36, we will uncover the element factorization of the given numbers, i.e. 12 = 2 × 2 × 3; 36 = 2 × 2 × 3 × 3.⇒ since 2, 2, 3 are usual terms in the element factorization the 12 and 36. Hence, GCF(12, 36) = 2 × 2 × 3 = 12☛ prime Number