How do you find the greatest common factor of #80x^3, 30yx^2#?

Answer 1

#gcf=10x^2#

Find the prime factorization of each of the given numbers:

#80x^3=16*5=2^4*5*x^3# #30yx^2=2*3*5*y*x^2#

the greatest common factor is the product of all common factors taken one at a time at the lowest exponent:

#gcf=2*5*x^2=10x^2#
Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer 2

To find the greatest common factor (GCF) of (80x^3) and (30yx^2), you need to factor each term into its prime factors. Then, identify the common factors and take the minimum exponent for each common factor.

The prime factorization of (80x^3) is (2^4 \cdot 5 \cdot x^3) and the prime factorization of (30yx^2) is (2 \cdot 3 \cdot 5 \cdot y \cdot x^2).

The common factors are (2), (5), and (x^2).

Therefore, the greatest common factor is (2 \cdot 5 \cdot x^2 = 10x^2).

Sign up to view the whole answer

By signing up, you agree to our Terms of Service and Privacy Policy

Sign up with email
Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

Not the question you need?

Drag image here or click to upload

Or press Ctrl + V to paste
Answer Background
HIX Tutor
Solve ANY homework problem with a smart AI
  • 98% accuracy study help
  • Covers math, physics, chemistry, biology, and more
  • Step-by-step, in-depth guides
  • Readily available 24/7