Final answer:
The sum of 60 and 84 expressed as a product of their Greatest Common Factor is 144. You determine this by first finding the GCF, which is 12, and then adding the other factors (5 and 7) together and multiplying by the GCF.
Step-by-step explanation:
To find the sum of the numbers 60 and 84 as a product of their Greatest Common Factor (GCF), you first need to calculate the GCF of the two numbers. The GCF of 60 and 84 is 12. You can divide each number by 12 to find the other factors, which are 5 for 60 and 7 for 84. Therefore, the sum of the numbers can be expressed as the product of their GCF and the sum of these other factors:
60 + 84 = (12 × 5) + (12 × 7)
GCF × (sum of other factors) = 12 × (5 + 7)
Now you can add the other factors:
5 + 7 = 12
Then multiply by the GCF:
12 × 12 = 144
So, the sum of the numbers expressed as a product of their GCF is 144.