How do you find the greatest common factor of 140n, 140m^2, 80m^2?

Dec 11, 2016

Factorize. But you can see at a glance that the letters have no common factor.

Explanation:

So we're left with finding the GCF of $140 , 140 , 80$

$140 = 7 \times 20 \mathmr{and} 80 = 4 \times 20$

So the GCF $= 20$ (no common factors between $4$ and $7$)

Note:
Of course you could factorize all the way down to the primes:

$140 n = 2 \times 2 \times 5 \times 7 \times n$, etc.