Find the GCF of 18j + 27.
To find the GCF (Greatest Common Factor) of the given expression 18j + 27, we need to identify the common factors of both terms and find the greatest among them.
The factors of 18 are: 1, 2, 3, 6, 9, 18.
The factors of 27 are: 1, 3, 9, 27.
The common factors of both terms are 1 and 3. However, 3 is the greatest common factor.
Therefore, the GCF of 18j + 27 is 3.
To find the greatest common factor (GCF) of 18j + 27, we need to look for the highest common factor that divides both terms.
Step 1: Factorize the terms.
18j can be factored as 18 * j
27 can be factored as 3 * 3 * 3
Step 2: Identify common factors.
The common factors between 18 and 27 are 1, 3, and 9. However, we also have the variable j in 18j, so we need to consider that too.
Step 3: Determine the highest common factor.
Since there is no common variable factor between 18j and 27, the highest common factor is 9.
Therefore, the GCF of 18j + 27 is 9.
To find the greatest common factor (GCF) of 18j + 27, we need to find the largest positive integer that divides both terms without leaving a remainder.
Step 1: Start by factoring out any common factors from the two terms. In this case, the terms 18j and 27 share a common factor of 9, since both are multiples of 9:
18j + 27 = 9(2j + 3)
Step 2: Now, we need to check if there are any other common factors between the remaining terms. There are no other factors that we can simplify, so the GCF of 18j + 27 is 9.
Therefore, the GCF of 18j + 27 is 9.