Question
The greatest common factor of 20 and another number is 4 . Which of these could be the other number? Select all that apply. A 4 B 8 C 10 D 20 E 80
Ask by King Chan. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The other number could be 4 or 8.
Solution
To find the possible values for the other number, we need to understand the conditions given:
1. The greatest common factor (GCF) of 20 and the other number is 4.
2. This means that 4 must be a factor of both 20 and the other number.
Let's analyze the options one by one:
- **A: 4**
- GCF(20, 4) = 4. This is valid.
- **B: 8**
- GCF(20, 8) = 4. This is valid.
- **C: 10**
- GCF(20, 10) = 10. This is not valid since the GCF is not 4.
- **D: 20**
- GCF(20, 20) = 20. This is not valid since the GCF is not 4.
- **E: 80**
- GCF(20, 80) = 20. This is not valid since the GCF is not 4.
Now, let's summarize the valid options:
- A: 4
- B: 8
Thus, the other number could be **4 or 8**.
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution The Deep Dive
To find the other number, we can use the greatest common factor (GCF). If the GCF of 20 and another number is 4, then both numbers must be divisible by 4. Let’s check each option: A. 4: The GCF of 20 and 4 is indeed 4. B. 8: The GCF of 20 and 8 is also 4. C. 10: The GCF of 20 and 10 is 10, not 4. D. 20: The GCF of 20 and 20 is 20, not 4. E. 80: The GCF of 20 and 80 is 20, not 4. So, the correct answers are A (4) and B (8).
