Question
Find the greatest common factor of 44,55,66
a
11
b
44
c
6
a
11
b
44
c
6
Answers
Answered by
GPT-4o mini
To find the greatest common factor (GCF) of the numbers 44, 55, and 66, we can first factor each number into its prime factors:
1. **44**:
- Factors: \( 44 = 2 \times 2 \times 11 = 2^2 \times 11 \)
2. **55**:
- Factors: \( 55 = 5 \times 11 \)
3. **66**:
- Factors: \( 66 = 2 \times 3 \times 11 = 2 \times 3 \times 11 \)
Next, we identify the common factors from the prime factorization:
- The only common prime factor among 44, 55, and 66 is **11**.
Therefore, the greatest common factor is **11**.
So, the answer is:
**a) 11**.
1. **44**:
- Factors: \( 44 = 2 \times 2 \times 11 = 2^2 \times 11 \)
2. **55**:
- Factors: \( 55 = 5 \times 11 \)
3. **66**:
- Factors: \( 66 = 2 \times 3 \times 11 = 2 \times 3 \times 11 \)
Next, we identify the common factors from the prime factorization:
- The only common prime factor among 44, 55, and 66 is **11**.
Therefore, the greatest common factor is **11**.
So, the answer is:
**a) 11**.
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