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

You are watching: Greatest common factor of 12 and 36

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

Answer: GCF the 12 and 36 is 12.

*

Explanation:

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


The techniques to uncover the GCF that 12 and also 36 are defined below.

Listing typical FactorsPrime factorization MethodLong division Method

GCF the 12 and 36 through Listing usual Factors

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

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

GCF the 12 and 36 by prime Factorization

*

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

GCF that 12 and 36 by lengthy Division

*

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

Step 2: due to the fact that 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 of 12 and 36 Examples


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

Solution:

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


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

Solution:

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


Example 3: find the biggest number the divides 12 and also 36 exactly.

Solution:

The greatest number that divides 12 and 36 exactly is their greatest typical factor, i.e. GCF that 12 and 36.⇒ factors of 12 and 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.


Show equipment >

go come slidego to slidego to slide


*


Ready to watch the world through math’s eyes?
Math is at the main point of everything we do. Reap solving real-world math problems in live classes and also become an experienced at everything.

Book a cost-free Trial Class


FAQs top top GCF the 12 and also 36

What is the GCF of 12 and 36?

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

What space the techniques to find GCF of 12 and 36?

There space three frequently used methods to find the GCF that 12 and also 36.

By element FactorizationBy lengthy DivisionBy Listing usual Factors

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

The adhering to equation can be used to refer the relation between LCM and GCF of 12 and also 36, i.e. GCF × LCM = 12 × 36.

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

See more: The Dominant Shape In Which Silicon And Oxygen Atoms Combine In Silicate Minerals Is

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

How to find the GCF of 12 and 36 by Long department Method?

To discover the GCF that 12, 36 making use of long department method, 36 is separated by 12. The corresponding divisor (12) as soon as remainder equates to 0 is taken as GCF.

How to find the GCF that 12 and also 36 by prime Factorization?

To uncover the GCF that 12 and also 36, us will discover the element factorization of the offered numbers, i.e. 12 = 2 × 2 × 3; 36 = 2 × 2 × 3 × 3.⇒ because 2, 2, 3 are common terms in the prime factorization that 12 and also 36. Hence, GCF(12, 36) = 2 × 2 × 3 = 12☛ element Number