Factors Of 36 And 12

GCF of 12 and 36

GCF of 12 and 36 is the largest possible number that divides 12 and 36 exactly without any remainder. The factors of 12 and 36 are 1, two, three, iv, half dozen, 12 and 1, 2, three, 4, 6, nine, 12, 18, 36 respectively. In that location are 3 commonly used methods to discover the GCF of 12 and 36 - prime factorization, Euclidean algorithm, and long division.

1.	GCF of 12 and 36
2.	List of Methods
iii.	Solved Examples
4.	FAQs

What is GCF of 12 and 36?

Answer: GCF of 12 and 36 is 12.

GCF of 12 and 36

Explanation:

The GCF of two not-zero integers, 10(12) and y(36), is the greatest positive integer m(12) that divides both ten(12) and y(36) without any remainder.

Methods to Find GCF of 12 and 36

The methods to notice the GCF of 12 and 36 are explained below.

Listing Common Factors
Prime Factorization Method
Long Division Method

GCF of 12 and 36 by Listing Common Factors

Factors of 12: 1, 2, 3, four, 6, 12
Factors of 36: 1, ii, three, 4, 6, 9, 12, eighteen, 36

At that place are half dozen common factors of 12 and 36, that are ane, two, three, 4, half-dozen, and 12. Therefore, the greatest common gene of 12 and 36 is 12.

GCF of 12 and 36 by Prime number Factorization

GCF of 12 and 36 by Prime Factorization

Prime factorization of 12 and 36 is (two × two × 3) and (two × two × 3 × 3) respectively. Equally visible, 12 and 36 take common prime number factors. Hence, the GCF of 12 and 36 is 2 × two × 3 = 12.

GCF of 12 and 36 by Long Division

GCF of 12 and 36 is the divisor that we get when the balance becomes 0 after doing long division repeatedly.

Step 1: Dissever 36 (larger number) by 12 (smaller number).
Step 2: Since the residuum = 0, the divisor (12) is the GCF of 12 and 36.

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

☛ Likewise Check:

GCF of 28 and 56 = 28
GCF of 51 and 68 = 17
GCF of 25 and xxx = 5
GCF of 36 and 45 = 9
GCF of 75, 8 and 21 = i
GCF of 42 and 72 = six
GCF of four and 18 = 2

GCF of 12 and 36 Examples

Example ane: Notice the GCF of 12 and 36, if their LCM is 36.

Solution:

∵ LCM × GCF = 12 × 36
⇒ GCF(12, 36) = (12 × 36)/36 = 12
Therefore, the greatest common cistron of 12 and 36 is 12.
Example 2: The production of two numbers is 432. If their GCF is 12, what is their LCM?

Solution:

Given: GCF = 12 and product of numbers = 432
∵ LCM × GCF = product of numbers
⇒ LCM = Product/GCF = 432/12
Therefore, the LCM is 36.
Case 3: Find the greatest number that divides 12 and 36 exactly.

Solution:

The greatest number that divides 12 and 36 exactly is their greatest mutual factor, i.east. GCF of 12 and 36.
⇒ Factors of 12 and 36:
- Factors of 12 = 1, 2, 3, 4, 6, 12
- Factors of 36 = 1, 2, 3, 4, 6, ix, 12, eighteen, 36
Therefore, the GCF of 12 and 36 is 12.

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FAQs on GCF of 12 and 36

What is the GCF of 12 and 36?

The GCF of 12 and 36 is 12 . To calculate the greatest common factor (GCF) of 12 and 36, we need to gene each number (factors of 12 = 1, ii, 3, 4, 6, 12; factors of 36 = i, ii, 3, iv, 6, 9, 12, eighteen, 36) and cull the greatest factor that exactly divides both 12 and 36, i.e., 12.

What are the Methods to Detect GCF of 12 and 36?

In that location are 3 commonly used methods to find the GCF of 12 and 36.

By Prime Factorization
By Long Division
By Listing Mutual Factors

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

The following equation can be used to express the relation betwixt LCM and GCF of 12 and 36, i.due east. GCF × LCM = 12 × 36.

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

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

How to Find the GCF of 12 and 36 by Long Division Method?

To find the GCF of 12, 36 using long division method, 36 is divided by 12. The respective divisor (12) when remainder equals 0 is taken equally GCF.

How to Find the GCF of 12 and 36 by Prime Factorization?

To observe the GCF of 12 and 36, nosotros will find the prime factorization of the given numbers, i.e. 12 = 2 × two × 3; 36 = 2 × 2 × three × 3.
⇒ Since 2, 2, 3 are common terms in the prime factorization of 12 and 36. Hence, GCF(12, 36) = ii × two × three = 12
☛ Prime number Number