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

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Answer 1 · 2016-12-11T22:30:33

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

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

$140 = 7 \times 20 and 80 = 4 \times 20$ $140=7xx20and 80=4xx20$

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

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

$140 n = 2 \times 2 \times 5 \times 7 \times n$ $140n=2xx2xx5xx7xxn$ , etc.

How do you find the greatest common factor of 140n,140m2,80m2140n, 140m^2, 80m^2?