28.08.2022

What is the prime factorization for 54???

. 1

Step-by-step answer

09.07.2023, solved by verified expert

Faq

Mathematics
Step-by-step answer
P Answered by Specialist

Greatest common factor of 16 and 24 is 8.

Step-by-step explanation:

Given : The prime factorization of 16 and 24 are shown below.

Prime factorization of 16: 2, 2, 2, 2 Prime factorization of 24: 2, 2, 2, 3

To find : What is the greatest common factor of 16 and 24?

Solution :

The greatest common factor of two number is the product of their common factor.

Prime factorization of 16 : 2\times2\times2\times2

Prime factorization of 24 : 2\times2\times2\times3

Now, Greatest common factor of 16 and 24 is

GCF(16,24)=2\times2\times2

GCF(16,24)=8

Therefore, Greatest common factor of 16 and 24 is 8.

Mathematics
Step-by-step answer
P Answered by Specialist
They share a few numbers together so you would multiply the number they have in common with the actual number
So both of them have one 2 and two 3's so the answer is:
2 X 3 X 3
Mathematics
Step-by-step answer
P Answered by PhD

Step-by-step explanation:

54 = 2 * 3³

72 = 2³ * 3²

To find the GCF of 54 and 72,

we find the highest common powers of their prime factors.

Highest common power for 2: 2

Highest common power for 3: 3²

Hence GCF of 54 and 72 = 2 * 3².

The answer is Option 2.

Mathematics
Step-by-step answer
P Answered by PhD
2 · 2 · 2 = 8

Step-by-step explanation:

16 = 2 · 2 · 2 · 2

24 = 2 · 2 · 2 · 3

GCF(16, 24) = 2 · 2 · 2 = 8

Mathematics
Step-by-step answer
P Answered by Specialist
They share a few numbers together so you would multiply the number they have in common with the actual number
So both of them have one 2 and two 3's so the answer is:
2 X 3 X 3
Mathematics
Step-by-step answer
P Answered by Specialist

ANSWER

The greatest common factor is 8.

EXPLANATION

The given prime factorization are:

16 = 2 \times 2 \times 2 \times 2

and

24 = 2 \times 2 \times 2 \times 3

The greatest common factor is is the product of the least powers of the common factors.

The product of the least powers of the common factors is:

2 \times 2 \times 2 = 8

Therefore, the greatest common factor is 8

Mathematics
Step-by-step answer
P Answered by Specialist

Prime factorization of 30: 2 × 3 × 5

 Prime factorization of 45: 3 × 3 × 5

The factors

✔ 3 and 5

are common to both factorizations.

The GCF of 30 and 45 is

✔ 15

Step-by-step explanation:

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