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Suppose the greatest common factor of z and y is g where g is a positive integer.The z = g*a and y = g*b for some integers a and b.


Then one factorisation of (z + y) is g*(a + b). It is possible, of course, that (a + b) can be factorised further.


For example z = 15, y = 21 so that z + y = 36

GCF(z, y) = 3

z = 3*5 and y = 3*7

so (z + y) = 36 can be factorised as 3*(5 + 7) = 3 * 12

But the 12 can be factorised into 2*2*3 so the full factorisation is 2*2*3*3.

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8y ago
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7y ago

The GCF of z and y is 1.

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Q: What is the factor of z plus y using the greatest common factor?
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