Question

The product of two natural numbers equals 2^3*3^4*5^2*7. What is the two numbers’ greatest common factor?

1. thuhuong
The numbers also share one copy of 3, one copy of 5, and one copy of 7. 2940: 2×2×3 … Consider two smaller numbers, 4 and 8, and their LCM. The number 4 …
Step-by-step explanation

2. thuhuong
Step-by-step explanation:
You can’t really tell what the two numbers are. They could be any combination of 2s for example
The first number could have no twos or 3 twos.
The second number could have the same values reversed. The givens don’t confine us in any way. The only thing that is not a common factor in both numbers is 7 since there is only 1 of them.
Let us suppose the the first number is 2 * 2 * 3 * 3 *7 * 5
And the second number is 2 * 3 * 3 * 5
The highest common factor would be 2 * 3 * 3 * 5 = 90
However you could rearrange them like this
The first number = 2*3 * 7
The second number = 2 * 2 * 3*3*3 * 5 * 5
The highest common factor is 2*3 = 6
I don’t think there is a unique answer to this.