Question
Find the GCF of 20x - 4.
Answer: 4
Describe as a 7th grader in short and simple sentences + show all your work.
Answer: 4
Describe as a 7th grader in short and simple sentences + show all your work.
Answers
GPT-4o mini
To find the GCF (Greatest Common Factor) of the expression \(20x - 4\), we want to look for the largest number that divides both parts of the expression.
1. **Look at the numbers**: We have \(20\) and \(-4\).
2. **Find factors of 20**: The factors of \(20\) are \(1, 2, 4, 5, 10, 20\).
3. **Find factors of -4**: The factors of \(-4\) are \(1, 2, 4\). (We can ignore the negative because we're looking for a positive GCF.)
4. **Find the common factors**: The common factors between \(20\) and \(4\) are \(1, 2, 4\).
5. **Choose the greatest one**: The greatest common factor from the common factors is \(4\).
So, the GCF of \(20x - 4\) is **4**.
We can also factor the expression to check our answer:
- Rewrite the expression with the GCF:
\[ 20x - 4 = 4(5x - 1) \]
This shows that \(4\) is the common factor.
Thus, the answer is **4**!
1. **Look at the numbers**: We have \(20\) and \(-4\).
2. **Find factors of 20**: The factors of \(20\) are \(1, 2, 4, 5, 10, 20\).
3. **Find factors of -4**: The factors of \(-4\) are \(1, 2, 4\). (We can ignore the negative because we're looking for a positive GCF.)
4. **Find the common factors**: The common factors between \(20\) and \(4\) are \(1, 2, 4\).
5. **Choose the greatest one**: The greatest common factor from the common factors is \(4\).
So, the GCF of \(20x - 4\) is **4**.
We can also factor the expression to check our answer:
- Rewrite the expression with the GCF:
\[ 20x - 4 = 4(5x - 1) \]
This shows that \(4\) is the common factor.
Thus, the answer is **4**!
can you shorten it more
GPT-4o mini
Sure! Here’s a shorter version:
To find the GCF of \(20x - 4\):
1. **Look at the numbers**: We have \(20\) and \(-4\).
2. **Find factors**:
- Factors of \(20\): \(1, 2, 4, 5, 10, 20\)
- Factors of \(-4\): \(1, 2, 4\) (only the positive ones matter).
3. **Common factors**: The common factors are \(1, 2, 4\).
4. **Greatest common factor**: The largest one is \(4\).
So, the GCF of \(20x - 4\) is **4**!
We can also factor it as \(4(5x - 1)\).
To find the GCF of \(20x - 4\):
1. **Look at the numbers**: We have \(20\) and \(-4\).
2. **Find factors**:
- Factors of \(20\): \(1, 2, 4, 5, 10, 20\)
- Factors of \(-4\): \(1, 2, 4\) (only the positive ones matter).
3. **Common factors**: The common factors are \(1, 2, 4\).
4. **Greatest common factor**: The largest one is \(4\).
So, the GCF of \(20x - 4\) is **4**!
We can also factor it as \(4(5x - 1)\).
turn it all into text
GPT-4o mini
To find the GCF of the expression "20x - 4," we start by looking at the numbers 20 and -4. First, we identify the factors of 20, which are 1, 2, 4, 5, 10, and 20. Next, we find the factors of -4, which are 1, 2, and 4 (we only consider the positive factors).
Now, we look for the common factors between the two sets. The common factors are 1, 2, and 4. The greatest of these factors is 4.
Therefore, the GCF of "20x - 4" is 4. To double-check our answer, we can factor the expression as 4(5x - 1), which confirms that 4 is indeed the common factor.
Now, we look for the common factors between the two sets. The common factors are 1, 2, and 4. The greatest of these factors is 4.
Therefore, the GCF of "20x - 4" is 4. To double-check our answer, we can factor the expression as 4(5x - 1), which confirms that 4 is indeed the common factor.