Question
greatest common factor
16k-24
16k-24
Answers
GPT-4o mini
To find the greatest common factor (GCF) of the expression \( 16k - 24 \), we can start by factoring out the GCF of the coefficients.
1. Identify the coefficients: \( 16 \) and \( -24 \).
2. Find the GCF of \( 16 \) and \( 24 \):
- The factors of \( 16 \) are \( 1, 2, 4, 8, 16 \).
- The factors of \( 24 \) are \( 1, 2, 3, 4, 6, 8, 12, 24 \).
- The common factors are \( 1, 2, 4, 8 \), and the greatest of these is \( 8 \).
3. Now, factor out the GCF \( 8 \) from the expression:
\[
16k - 24 = 8(2k - 3)
\]
Thus, the greatest common factor of \( 16k - 24 \) is \( 8 \), and the factored form of the expression is \( 8(2k - 3) \).
1. Identify the coefficients: \( 16 \) and \( -24 \).
2. Find the GCF of \( 16 \) and \( 24 \):
- The factors of \( 16 \) are \( 1, 2, 4, 8, 16 \).
- The factors of \( 24 \) are \( 1, 2, 3, 4, 6, 8, 12, 24 \).
- The common factors are \( 1, 2, 4, 8 \), and the greatest of these is \( 8 \).
3. Now, factor out the GCF \( 8 \) from the expression:
\[
16k - 24 = 8(2k - 3)
\]
Thus, the greatest common factor of \( 16k - 24 \) is \( 8 \), and the factored form of the expression is \( 8(2k - 3) \).