funnyface
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# How do I write the sum of two numbers as the product of their GCF and another sum

Let's assume we were given 2 numbers: 15 and 30. Their sum is: $15+30 = 45$ We want to express it as the product of GCF and another sum. 15 is divisible by: 1, 3, 5, 15 30 is divisible by: 1, 2, 3, 5, 6, 10, 15, 30 The greatest number that appears in 2 series is 15. $\frac{15}{15} = 1$ $\frac{30}{15} = 2$ In this case sum of two numbers can always be written as: $15+30 = (15\cdot 1) + (15\cdot 2) = 15\cdot (1+2) = 15\cdot 3 = 45$