find the gcf of 18j + 27

To find the greatest common factor (GCF) of 18j and 27, we need to factor both numbers into their prime factors and then find the common factors.

Step 1: Factorization
Let's start by factoring 18j and 27.

18 is divisible by 2, so we can divide it by 2 to get 9.
9 is divisible by 3, so we can divide it by 3 to get 3.

So, the prime factorization of 18 is 2 × 3².

27 is divisible by 3, so we can divide it by 3 to get 9.
9 is divisible by 3, so we can divide it by 3 to get 3.

So, the prime factorization of 27 is 3³.

Step 2: Common Factors
To find the GCF, we need to find the common factors between the two numbers. In this case, the only common factor is 3.

Step 3: Conclusion
Therefore, the GCF of 18j and 27 is 3.