Question

Highest Common Factor of 72,120,192

Answer 1

Step-by-step explanation:

Decompose all numbers into prime factors

72 2 36 2 18 2 9 3 3 3 1 120 2 60 2 30 2 15 3 5 5 1 192 2 96 2 48 2 24 2 12 2 6 2 3 3 1

2. Write all numbers as the product of its prime factors

Prime factors of 72 = 23 . 32

Prime factors of 120 = 23 . 3 . 5

Prime factors of 192 = 26 . 3

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3

Common prime factors with the lowest exponent: 23, 31

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF = 23. 31 = 24

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Answer 2

Step-by-step explanation:

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