what is the gcf of the monomials 24,81
3 goes into each
To find the greatest common factor (GCF) of the monomials 24 and 81, you can start by finding the prime factorization of each number.
The prime factorization of 24 is 2^3 * 3, which means that 24 can be expressed as the product of 2 raised to the power of 3 and 3.
The prime factorization of 81 is 3^4, which means that 81 can be expressed as the product of 3 raised to the power of 4.
Now, to find the GCF, you need to determine the highest power of each common prime factor. In this case, the only common prime factor is 3.
For 24, the highest power of 3 is 1 (3^1).
For 81, the highest power of 3 is 4 (3^4).
To find the GCF, you take the lowest power of each common prime factor. In this case, it's 3 raised to the power of 1.
So, the GCF of 24 and 81 is 3.