Find the greatest common factor of 15b^2 and 4m^4

Answer 1

To find the greatest common factor of 15b^2 and 4m^4, we need to determine the highest power of each prime factor that appears in both numbers.

First, let's prime factorize both numbers:
15b^2 = 3 * 5 * b * b
4m^4 = 2 * 2 * m * m * m * m

The common factors between the two numbers are 1, b^2, and 1 (since they have no factors in common for the numbers).

Therefore, the greatest common factor of 15b^2 and 4m^4 is just 1.