1. The problem is to simplify the expression by factoring out the common multiplier: $$500 \times 79 - 250 \times 157$$.
2. Identify the common multiplier between 500 and 250. The greatest common factor is 250.
3. Factor out 250 from both terms:
$$500 \times 79 - 250 \times 157 = 250 \times (2 \times 79) - 250 \times 157 = 250 \times (2 \times 79 - 157)$$.
4. Simplify inside the parentheses:
$$2 \times 79 = 158$$
5. Substitute back:
$$250 \times (158 - 157) = 250 \times 1 = 250$$.
6. Therefore, the simplified expression is $$250$$.
Common Multiplier
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