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

1. mathstudent55

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

2. mathstudent55

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

3. anonymous

?

4. UsukiDoll

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

5. mathstudent55

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

6. mathstudent55

You see above the common factors in red.