Method 1:
\Factor the each monomial.
\25k = 5 · 5 · k.
\35j = 5 · 7 · j.
\The GCF is the product of the common prime factors in each monomial.
\GCF = 5.
\The greatest common factor of 25k and 35j is 5.
The greatest common factor of 25k and 35j is 5.
\