Question
greatest common factor of 105, 30, and 60
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Answered by
GPT 3.5
To find the greatest common factor (GCF) of 105, 30, and 60, we can begin by finding the prime factorization of each number.
The prime factorization of 105 is 3 × 5 × 7.
The prime factorization of 30 is 2 × 3 × 5.
The prime factorization of 60 is 2 × 2 × 3 × 5.
Now, let's identify the common prime factors in all three numbers and multiply them together to find the GCF.
The common prime factors are 3 and 5. Multiplying them together: 3 × 5 = 15.
Therefore, the greatest common factor of 105, 30, and 60 is 15.
The prime factorization of 105 is 3 × 5 × 7.
The prime factorization of 30 is 2 × 3 × 5.
The prime factorization of 60 is 2 × 2 × 3 × 5.
Now, let's identify the common prime factors in all three numbers and multiply them together to find the GCF.
The common prime factors are 3 and 5. Multiplying them together: 3 × 5 = 15.
Therefore, the greatest common factor of 105, 30, and 60 is 15.
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