Answer :
24x² is the greatest common factor of 72x³ and 48x²
What are factors?
A factor is a number that divides another number, leaving no remainder.
The two expressions are 72x³ and 48x²
Seventy two x cube and forty eight x square.
Let us find the factors of 72 and 48
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36 and 72
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48
The greatest common factor is 24.
Among x³ and x² the greatest common factor is x²
24x² is the greatest common factor of 72x³ and 48x²
Hence, 24x² is the greatest common factor of 72x³ and 48x²
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Answer:
24x^2
Step-by-step explanation:
The first thing to look at is to find the greatest common factor for the numbers, and concern yourself with the variables second.
The highest number that both 72 and 48 are divisible by is 24. Therefore, your coefficient is 24.
Double check this works:
72/24 = 3
48/24 = 2
The answers above are prime numbers and therefore do not have any more common factors (with the exception of 1), so we can be sure we have found the greatest common factor.
Now we can look at the variables. The highest "number" that both x^3 and x^2 are divisible by is x is x^2. x^3
Double check:
x^3/x^2 = x
x^2/x^2 = 1
Put it together, and your answer is 24x^2
