Find the GCF of 18j + 27
3
54
9
18
The GCF of 18j and 27 is 9.
Find the GCF of 42m - 28n
2
84
7
14
The GCF of 42m and 28n is 14.
use properties of operations to factor 8w + 16 using GCF
To factor 8w + 16 using the GCF, we first need to find the greatest common factor of 8w and 16.
The prime factorization of 8w is 2 * 2 * 2 * w = 2^3 * w.
The prime factorization of 16 is 2 * 2 * 2 * 2 = 2^4.
The common factors are the powers of 2 that are shared between 8w and 16, which are 2^3. So the GCF of 8w and 16 is 2^3 = 8.
Now, we can factor out the GCF from each term:
8w + 16 = 8 * w + 8 * 2.
Using the distributive property, we can factor out the GCF:
8w + 16 = 8 * (w + 2).
Therefore, the factored form of 8w + 16 using the GCF is 8(w + 2).
factor -27h + 6 using the GCF
To factor -27h + 6 using the GCF, we first need to find the greatest common factor of -27h and 6.
The prime factorization of -27h is -1 * 3 * 3 * 3 * h = -3^3 * h.
The prime factorization of 6 is 2 * 3.
The common factor is the power of 3 that is shared between -27h and 6, which is 3. So the GCF of -27h and 6 is 3.
Now, we can factor out the GCF from each term:
-27h + 6 = 3 * (-9h + 2).
Therefore, the factored form of -27h + 6 using the GCF is 3(-9h + 2).