Explanation:
Suppose you have the sum P+Q, and that P and Q have a GCF of g. Then the two terms P and Q can be written as ...
Using the distributive property, we can rewrite the sum as ...
P + Q = g·p +g·q = g(p +q) . . . . . g is the GCF; (p+q) is the other number
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Example:
P = 48 = 8·6
Q = 40 = 8·5
g = 8, p=6, q=5
P + Q = 48 + 40 = 8(6 +5) = 8·11
