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Find the greatest common factor of 31 and 93.(1 point) The greatest common factor of 31 and 93 is _.Question
Find the greatest common factor of 31 and 93.(1 point)
The greatest common factor of 31 and 93 is blank
The greatest common factor of 31 and 93 is blank
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GPT-4o mini
To find the greatest common factor (GCF) of 31 and 93, we can check the factors of each number.
31 is a prime number, so its only factors are 1 and 31.
Now, let's find the factors of 93:
93 can be divided as follows:
- 93 is divisible by 3 (since 9 + 3 = 12, which is divisible by 3)
- Dividing, we get 93 รท 3 = 31.
Thus, the factors of 93 are 1, 3, 31, and 93.
The common factors of 31 and 93 are 1 and 31. The greatest of those is 31.
Therefore, the greatest common factor of 31 and 93 is **31**.
31 is a prime number, so its only factors are 1 and 31.
Now, let's find the factors of 93:
93 can be divided as follows:
- 93 is divisible by 3 (since 9 + 3 = 12, which is divisible by 3)
- Dividing, we get 93 รท 3 = 31.
Thus, the factors of 93 are 1, 3, 31, and 93.
The common factors of 31 and 93 are 1 and 31. The greatest of those is 31.
Therefore, the greatest common factor of 31 and 93 is **31**.
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