To find the greatest common factor (GCF) of 46 and 69, we can start by finding the prime factorizations of both numbers.
- The prime factorization of 46 is \(2 \times 23\).
- The prime factorization of 69 is \(3 \times 23\).
The common prime factor in both factorizations is 23.
Therefore, the greatest common factor of 46 and 69 is 23.