Question

Find the greatest common factor of these two expressions.
8u^6v^8 and 28u^7v^2x^3

Answer 1

First, find the GCF of the coefficients (the numbers) 8 and 28.

Answer 2

\(8u^6v^8\)
\(28u^7v^2x^3\)

Show every factor of the two terms:
\(8u^6v^8 = 2 \times 2 \times 2 \times uuuuuu \times vvvvvvvv\)
\(28u^7v^2x^3 = 2 \times 2 \times 7 \times uuuuuuu \times vv \times xxx\)

Answer 3

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Answer 4

mathstudent55 expanded everything out for you... you just have to figure out what the two of those expressions have in common

Answer 5

The GCF is the product of all factors both terms have in common:
\(8u^6v^8 = \color{red}{2 \times 2} \times 2 \times \color{red}{uuuuuu} \times \color{red}{vv}vvvvvv\)
\(28u^7v^2x^3 = \color{red}{2 \times 2} \times 7 \times \color{red}{uuuuuu}u \times \color{red}{vv} \times xxx\)

Answer 6

You see above the common factors in red.