Find the GCF (greatest common factor) of the following terms. $$ \{30,66,42\} $$

Question

UpStudy AI · Accepted Answer

To find the greatest common factor (GCF) of the numbers $$30$$, $$66$$, and $$42$$, we can follow these steps:

1. **Find the prime factorization of each number:**
   - For $$30$$:
     $$
     30 = 2 \times 3 \times 5
     $$
   - For $$66$$:
     $$
     66 = 2 \times 3 \times 11
     $$
   - For $$42$$:
     $$
     42 = 2 \times 3 \times 7
     $$

2. **Identify the common prime factors:**
   - The common prime factors among $$30$$, $$66$$, and $$42$$ are $$2$$ and $$3$$.

3. **Multiply the common prime factors:**
   - The GCF is calculated by multiplying the lowest powers of the common prime factors:
     $$
     GCF = 2^1 \times 3^1 = 2 \times 3 = 6
     $$

Thus, the greatest common factor (GCF) of $$30$$, $$66$$, and $$42$$ is $$6$$.
The greatest common factor (GCF) of 30, 66, and 42 is 6.

Find the GCF (greatest common factor) of the following terms. \[ \{30,66,42\} \]

Upstudy AI Solution

Answer

Solution

Beyond the Answer

Related Questions

Latest Arithmetic Questions