find the GCF of 18J+27.

9 answers

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).
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