Asked by rat
Find the GCF of 78 and 86.(1 point) Responses 1 1 86 86 3 3 2
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GPT-4o mini
To find the greatest common factor (GCF) of 78 and 86, we can start by finding the prime factorization of each number.
1. **Prime factorization of 78**:
- \( 78 = 2 \times 39 \)
- \( 39 = 3 \times 13 \)
- So, \( 78 = 2 \times 3 \times 13 \)
2. **Prime factorization of 86**:
- \( 86 = 2 \times 43 \)
- So, \( 86 = 2 \times 43 \)
Now we can find the common factors. Both numbers have the factor \(2\) in common.
Thus, the GCF of 78 and 86 is **2**.
1. **Prime factorization of 78**:
- \( 78 = 2 \times 39 \)
- \( 39 = 3 \times 13 \)
- So, \( 78 = 2 \times 3 \times 13 \)
2. **Prime factorization of 86**:
- \( 86 = 2 \times 43 \)
- So, \( 86 = 2 \times 43 \)
Now we can find the common factors. Both numbers have the factor \(2\) in common.
Thus, the GCF of 78 and 86 is **2**.
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