Gcf Of 36 And 28

GCF of 28 and 36

GCF of 28 and 36 is the largest possible number that divides 28 and 36 exactly without whatsoever remainder. The factors of 28 and 36 are 1, ii, 4, 7, 14, 28 and ane, 2, 3, 4, 6, 9, 12, 18, 36 respectively. There are iii commonly used methods to detect the GCF of 28 and 36 - prime factorization, Euclidean algorithm, and long division.

one.	GCF of 28 and 36
2.	List of Methods
3.	Solved Examples
4.	FAQs

What is GCF of 28 and 36?

Reply: GCF of 28 and 36 is four.

GCF of 28 and 36

Explanation:

The GCF of two non-zippo integers, x(28) and y(36), is the greatest positive integer yard(4) that divides both x(28) and y(36) without whatsoever residual.

Methods to Discover GCF of 28 and 36

The methods to observe the GCF of 28 and 36 are explained below.

Long Partition Method
Listing Mutual Factors
Prime Factorization Method

GCF of 28 and 36 by Long Segmentation

GCF of 28 and 36 by Long Division

GCF of 28 and 36 is the divisor that we get when the remainder becomes 0 after doing long division repeatedly.

Step one: Divide 36 (larger number) by 28 (smaller number).
Step 2: Since the remainder ≠ 0, we will separate the divisor of step one (28) by the residuum (eight).
Step 3: Repeat this process until the remainder = 0.

The corresponding divisor (4) is the GCF of 28 and 36.

GCF of 28 and 36 past Listing Mutual Factors

Factors of 28: ane, 2, 4, vii, 14, 28
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36

There are iii common factors of 28 and 36, that are i, two, and 4. Therefore, the greatest common factor of 28 and 36 is 4.

GCF of 28 and 36 by Prime Factorization

Prime factorization of 28 and 36 is (2 × two × seven) and (2 × 2 × 3 × 3) respectively. As visible, 28 and 36 accept mutual prime factors. Hence, the GCF of 28 and 36 is two × 2 = four.

☛ Also Bank check:

GCF of 20 and 30 = 10
GCF of 64 and eighty = 16
GCF of 3 and 9 = 3
GCF of 42 and 63 = 21
GCF of 24 and 54 = 6
GCF of 60 and 75 = 15
GCF of 36 and 63 = ix

GCF of 28 and 36 Examples

Case one: Find the GCF of 28 and 36, if their LCM is 252.

Solution:

∵ LCM × GCF = 28 × 36
⇒ GCF(28, 36) = (28 × 36)/252 = 4
Therefore, the greatest common factor of 28 and 36 is four.
Example ii: Discover the greatest number that divides 28 and 36 exactly.

Solution:

The greatest number that divides 28 and 36 exactly is their greatest mutual gene, i.e. GCF of 28 and 36.
⇒ Factors of 28 and 36:
- Factors of 28 = 1, 2, four, seven, 14, 28
- Factors of 36 = 1, ii, 3, iv, six, nine, 12, 18, 36
Therefore, the GCF of 28 and 36 is four.
Example three: The product of two numbers is 1008. If their GCF is iv, what is their LCM?

Solution:

Given: GCF = four and product of numbers = 1008
∵ LCM × GCF = production of numbers
⇒ LCM = Product/GCF = 1008/4
Therefore, the LCM is 252.

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FAQs on GCF of 28 and 36

What is the GCF of 28 and 36?

The GCF of 28 and 36 is four . To calculate the GCF of 28 and 36, nosotros need to cistron each number (factors of 28 = 1, 2, iv, vii, fourteen, 28; factors of 36 = 1, 2, iii, iv, 6, 9, 12, xviii, 36) and choose the greatest factor that exactly divides both 28 and 36, i.due east., four.

How to Detect the GCF of 28 and 36 by Long Division Method?

To observe the GCF of 28, 36 using long partitioning method, 36 is divided by 28. The corresponding divisor (4) when remainder equals 0 is taken every bit GCF.

What are the Methods to Find GCF of 28 and 36?

There are three commonly used methods to find the GCF of 28 and 36.

By Euclidean Algorithm
Past Prime Factorization
By Long Division

What is the Relation Between LCM and GCF of 28, 36?

The following equation can be used to express the relation betwixt Least Common Multiple (LCM) and GCF of 28 and 36, i.e. GCF × LCM = 28 × 36.

If the GCF of 36 and 28 is 4, Find its LCM.

GCF(36, 28) × LCM(36, 28) = 36 × 28
Since the GCF of 36 and 28 = 4
⇒ 4 × LCM(36, 28) = 1008
Therefore, LCM = 252
☛ Greatest Common Factor Calculator

How to Find the GCF of 28 and 36 by Prime Factorization?

To find the GCF of 28 and 36, we volition observe the prime factorization of the given numbers, i.e. 28 = 2 × 2 × vii; 36 = 2 × two × 3 × three.
⇒ Since ii, 2 are common terms in the prime factorization of 28 and 36. Hence, GCF(28, 36) = two × 2 = four
☛ What is a Prime number Number?