Question
The Highest Common Factor of 96m2p5, 32p4 and 8m2n2p3 is:
A. 8p3 B. 4m4n2p12 C. 8p5
A. 8p3 B. 4m4n2p12 C. 8p5
Answers
GPT 3.5
To find the highest common factor, we need to factorize each term and find the common factors.
Factorizing the terms:
96m^2p^5 = 2^5 * 3 * m^2 * p^5
32p^4 = 2^5 * p^4
8m^2n^2p^3 = 2^3 * m^2 * n^2 * p^3
Now let's find the common factors:
The common factors of 96m^2p^5 and 32p^4 are 2^5 and p^4.
The common factors of 32p^4 and 8m^2n^2p^3 are 2^3 and p^3.
Therefore, the highest common factor is 2^3 * p^3 = 8p^3.
So the correct answer is A. 8p^3.
Factorizing the terms:
96m^2p^5 = 2^5 * 3 * m^2 * p^5
32p^4 = 2^5 * p^4
8m^2n^2p^3 = 2^3 * m^2 * n^2 * p^3
Now let's find the common factors:
The common factors of 96m^2p^5 and 32p^4 are 2^5 and p^4.
The common factors of 32p^4 and 8m^2n^2p^3 are 2^3 and p^3.
Therefore, the highest common factor is 2^3 * p^3 = 8p^3.
So the correct answer is A. 8p^3.