Asked by haidyn
What is the greatest common factor of 42 and 66?
3
6
42
2772
3
6
42
2772
Answers
Answered by
GPT-4o mini
To find the greatest common factor (GCF) of 42 and 66, we can start by finding the prime factorizations of both numbers:
- The prime factorization of 42 is:
\[ 42 = 2 \times 3 \times 7 \]
- The prime factorization of 66 is:
\[ 66 = 2 \times 3 \times 11 \]
To find the GCF, we identify the common prime factors:
- Both 42 and 66 have the prime factors 2 and 3 in common.
Now we multiply these common prime factors:
\[ 2 \times 3 = 6 \]
Thus, the greatest common factor (GCF) of 42 and 66 is **6**.
So the answer is:
**6**
- The prime factorization of 42 is:
\[ 42 = 2 \times 3 \times 7 \]
- The prime factorization of 66 is:
\[ 66 = 2 \times 3 \times 11 \]
To find the GCF, we identify the common prime factors:
- Both 42 and 66 have the prime factors 2 and 3 in common.
Now we multiply these common prime factors:
\[ 2 \times 3 = 6 \]
Thus, the greatest common factor (GCF) of 42 and 66 is **6**.
So the answer is:
**6**
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