find the GCF of 18J+27.
To find the Greatest Common Factor (GCF) of 18J + 27, we need to find the largest common factor that both terms have in common.
First, let's express both terms as factored expressions:
18J can be factored as 2 * 3 * 3 * J
27 can be factored as 3 * 3 * 3
Next, let's identify the common factors:
The common factors between 18J and 27 are 3 * 3 = 9.
Therefore, the GCF of 18J + 27 is 9.
Find the GCF of 42M + 28N=
To find the Greatest Common Factor (GCF) of 42M + 28N, we factor out the common factors of both terms.
First, let's express both terms as factored expressions:
42M can be factored as 2 * 3 * 7 * M
28N can be factored as 2 * 2 * 7 * N
Next, let's identify the common factors:
The common factors between 42M and 28N are 2 * 7 = 14.
Therefore, the GCF of 42M + 28N is 14.
use the Properties of operations to factor 8W + 16 using the GCF
To factor 8W + 16 using the Greatest Common Factor (GCF), we need to identify the greatest common factor of both terms, which is 8.
Using the distributive property, we can write:
8W + 16 = 8(W + 2)
Therefore, the factored form of 8W + 16 is 8(W + 2).
Factor -27 + 6 using the GCF
To factor -27 + 6 using the Greatest Common Factor (GCF), we need to identify the greatest common factor of both terms, which is 3.
Using the distributive property, we can write:
-27 + 6 = 3(-9 + 2)
Therefore, the factored form of -27 + 6 is 3(-9 + 2).
factor 18M - 24N using the GCF.
To factor 18M - 24N using the Greatest Common Factor (GCF), we need to identify the greatest common factor of both terms, which is 6.
Using the distributive property, we can write:
18M - 24N = 6(3M - 4N)
Therefore, the factored form of 18M - 24N is 6(3M - 4N).
To find the greatest common factor (GCF) of 18J+27, we need to factor out any common factors between the terms.
First, let's look at the coefficients of 18 and 27. Both numbers are divisible by 9 since they share the factor 9. We can factor out 9 from both terms:
18J + 27 = 9 * (2J + 3)
Now, let's focus on the remaining terms. Since the variable term is "J", we can't factor out any common variables. Therefore, the GCF of 18J + 27 is 9.
If you were to solve this manually, you would have to recognize that 18 and 27 have a common factor of 9 and then factor it out from the expression.