Question

A=2x3^4x5 b=2^3x3^2x5^5 write down the night common factor of A and B PLEASE HELP ASAP PLEASEE!

Answer 1

The HCF of
`a=2^1 \cdot 3^4 \cdot 5^1` and
`b = 2^3 \cdot 3^2 \cdot 5^2` is
`90`.

Explanation:

To calculate the HCF of two numbers given their prime factorization, we take the lowest exponent of every prime when comparing the two numbers.

So the HCF of
`a=2^1 \cdot 3^4 \cdot 5^1` and
`b = 2^3 \cdot 3^2 \cdot 5^2` is
`2^1 \cdot 3^2 \cdot 5^1 = 90`.