GCF that 16 and 24 is the largest feasible number the divides 16 and also 24 precisely without any kind of remainder. The determinants of 16 and 24 are 1, 2, 4, 8, 16 and 1, 2, 3, 4, 6, 8, 12, 24 respectively. There space 3 commonly used methods to uncover the GCF of 16 and also 24 - element factorization, lengthy division, and also Euclidean algorithm.

You are watching: What factors do 16 and 24 have in common

1.GCF that 16 and 24
2.List that Methods
3.Solved Examples
4.FAQs

Answer: GCF that 16 and 24 is 8.

*

Explanation:

The GCF of 2 non-zero integers, x(16) and also y(24), is the greatest positive essence m(8) the divides both x(16) and y(24) without any remainder.


The techniques to find the GCF the 16 and also 24 are defined below.

Long division MethodPrime administrate MethodListing typical Factors

GCF the 16 and also 24 by long Division

*

GCF of 16 and also 24 is the divisor that we acquire when the remainder i do not care 0 after ~ doing long department repeatedly.

Step 2: due to the fact that the remainder ≠ 0, we will divide the divisor of action 1 (16) by the remainder (8).Step 3: Repeat this procedure until the remainder = 0.

The corresponding divisor (8) is the GCF that 16 and 24.

GCF the 16 and also 24 by prime Factorization

*

Prime factorization of 16 and also 24 is (2 × 2 × 2 × 2) and (2 × 2 × 2 × 3) respectively. Together visible, 16 and also 24 have typical prime factors. Hence, the GCF that 16 and also 24 is 2 × 2 × 2 = 8.

GCF that 16 and 24 by Listing usual Factors

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

There are 4 typical factors that 16 and also 24, that room 8, 1, 2, and also 4. Therefore, the greatest usual factor of 16 and also 24 is 8.

☛ also Check:


GCF of 16 and also 24 Examples


Example 1: For two numbers, GCF = 8 and LCM = 48. If one number is 24, uncover the other number.

Solution:

Given: GCF (z, 24) = 8 and also LCM (z, 24) = 48∵ GCF × LCM = 24 × (z)⇒ z = (GCF × LCM)/24⇒ z = (8 × 48)/24⇒ z = 16Therefore, the other number is 16.


Example 2: find the GCF of 16 and 24, if their LCM is 48.

Solution:

∵ LCM × GCF = 16 × 24⇒ GCF(16, 24) = (16 × 24)/48 = 8Therefore, the greatest common factor the 16 and also 24 is 8.


Example 3: uncover the biggest number the divides 16 and 24 exactly.

Solution:

The best number that divides 16 and 24 specifically is your greatest common factor, i.e. GCF the 16 and 24.⇒ components of 16 and 24:

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

Therefore, the GCF of 16 and 24 is 8.


Show solution >

go come slidego come slidego to slide


*


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

Book a complimentary Trial Class


FAQs top top GCF that 16 and 24

What is the GCF that 16 and 24?

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

What are the methods to find GCF the 16 and 24?

There are three commonly used approaches to discover the GCF that 16 and 24.

By long DivisionBy Euclidean AlgorithmBy element Factorization

How to uncover the GCF the 16 and also 24 by prime Factorization?

To uncover the GCF of 16 and 24, us will uncover the element factorization of the offered numbers, i.e. 16 = 2 × 2 × 2 × 2; 24 = 2 × 2 × 2 × 3.⇒ due to the fact that 2, 2, 2 are common terms in the prime factorization the 16 and 24. Hence, GCF(16, 24) = 2 × 2 × 2 = 8☛ What are Prime Numbers?

What is the Relation in between LCM and also GCF that 16, 24?

The complying with equation deserve to be offered to refer the relation between Least common Multiple (LCM) and also GCF that 16 and also 24, i.e. GCF × LCM = 16 × 24.

If the GCF that 24 and 16 is 8, find its LCM.

See more: Cheat Codes For Mario Party Ds Action Replay Codes, Mario Party Ds Codes

GCF(24, 16) × LCM(24, 16) = 24 × 16Since the GCF that 24 and also 16 = 8⇒ 8 × LCM(24, 16) = 384Therefore, LCM = 48☛ GCF Calculator

How to discover the GCF that 16 and 24 by Long department Method?

To find the GCF that 16, 24 utilizing long department method, 24 is separated by 16. The equivalent divisor (8) as soon as remainder amounts to 0 is taken as GCF.