GCF that 24 and 48 is the largest feasible number the divides 24 and also 48 exactly without any remainder. The components of 24 and 48 are 1, 2, 3, 4, 6, 8, 12, 24 and also 1, 2, 3, 4, 6, 8, 12, 16, 24, 48 respectively. There room 3 typically used approaches to find the GCF of 24 and also 48 - lengthy division, Euclidean algorithm, and also prime factorization.

You are watching: What is the greatest common factor of 24 and 48

1.GCF of 24 and 48
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF the 24 and 48 is 24.

*

Explanation:

The GCF of 2 non-zero integers, x(24) and y(48), is the biggest positive creature m(24) that divides both x(24) and also y(48) without any remainder.


The approaches to discover the GCF that 24 and 48 are defined below.

Prime administer MethodListing typical FactorsLong division Method

GCF the 24 and 48 by element Factorization

*

Prime factorization of 24 and also 48 is (2 × 2 × 2 × 3) and (2 × 2 × 2 × 2 × 3) respectively. As visible, 24 and 48 have common prime factors. Hence, the GCF that 24 and 48 is 2 × 2 × 2 × 3 = 24.

GCF the 24 and 48 through Listing usual Factors

*
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24Factors that 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

There are 8 common factors of 24 and also 48, that space 1, 2, 3, 4, 6, 8, 12, and also 24. Therefore, the greatest common factor that 24 and 48 is 24.

GCF of 24 and also 48 by long Division

GCF that 24 and also 48 is the divisor the we acquire when the remainder i do not care 0 after doing long division repeatedly.

Step 2: due to the fact that the remainder = 0, the divisor (24) is the GCF the 24 and 48.

The matching divisor (24) is the GCF of 24 and 48.

☛ likewise Check:


GCF of 24 and 48 Examples


Example 1: The product of two numbers is 1152. If their GCF is 24, what is their LCM?

Solution:

Given: GCF = 24 and product of numbers = 1152∵ LCM × GCF = product of numbers⇒ LCM = Product/GCF = 1152/24Therefore, the LCM is 48.


Example 2: discover the greatest number the divides 24 and also 48 exactly.

Solution:

The greatest number the divides 24 and 48 specifically is their greatest typical factor, i.e. GCF the 24 and 48.⇒ components of 24 and also 48:

Factors that 24 = 1, 2, 3, 4, 6, 8, 12, 24Factors the 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Therefore, the GCF that 24 and 48 is 24.


Example 3: uncover the GCF of 24 and also 48, if your LCM is 48.

Solution:

∵ LCM × GCF = 24 × 48⇒ GCF(24, 48) = (24 × 48)/48 = 24Therefore, the greatest usual factor of 24 and also 48 is 24.


Show equipment >

go come slidego to slidego come slide


*


Ready to view the people through math’s eyes?
Math is in ~ the core of everything we do. Enjoy solving real-world math difficulties in live classes and also become an expert at everything.

Book a cost-free Trial Class


FAQs ~ above GCF of 24 and also 48

What is the GCF of 24 and also 48?

The GCF that 24 and 48 is 24. To calculation the greatest typical factor (GCF) the 24 and also 48, we require to element each number (factors the 24 = 1, 2, 3, 4, 6, 8, 12, 24; determinants of 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24, 48) and also choose the greatest aspect that specifically divides both 24 and also 48, i.e., 24.

What are the methods to find GCF of 24 and 48?

There space three typically used approaches to discover the GCF the 24 and also 48.

By element FactorizationBy long DivisionBy Euclidean Algorithm

How to find the GCF of 24 and also 48 by Long department Method?

To find the GCF the 24, 48 utilizing long division method, 48 is split by 24. The matching divisor (24) as soon as remainder amounts to 0 is taken together GCF.

What is the Relation in between LCM and GCF that 24, 48?

The following equation can be offered to refer the relation in between LCM and GCF of 24 and 48, i.e. GCF × LCM = 24 × 48.

See more: White Oblong Pill L544 One Side, L544 White And Capsule

How to discover the GCF that 24 and also 48 by element Factorization?

To uncover the GCF the 24 and 48, we will uncover the element factorization that the given numbers, i.e. 24 = 2 × 2 × 2 × 3; 48 = 2 × 2 × 2 × 2 × 3.⇒ due to the fact that 2, 2, 2, 3 are usual terms in the prime factorization of 24 and 48. Hence, GCF(24, 48) = 2 × 2 × 2 × 3 = 24☛ element Numbers

If the GCF of 48 and also 24 is 24, discover its LCM.

GCF(48, 24) × LCM(48, 24) = 48 × 24Since the GCF of 48 and 24 = 24⇒ 24 × LCM(48, 24) = 1152Therefore, LCM = 48☛ GCF Calculator