https://file.aiquickdraw.com/mathbot/file/1727068423171qm5y3laf.jpg

To solve the problem in the image where you're asked to find the common factors of the terms:

\[
6abc, \, 24ab^2, \, 12a^2b
\]

Let's break it down:

1. **Factorize each term**:
   - \(6abc = 2 \times 3 \times a \times b \times c\)
   - \(24ab^2 = 2^3 \times 3 \times a \times b^2\)
   - \(12a^2b = 2^2 \times 3 \times a^2 \times b\)

2. **Find the common factors**:
   - For the numbers: The common factor among \(6, 24, 12\) is \(6 = 2 \times 3\).
   - For \(a\): The lowest power of \(a\) common to all terms is \(a\).
   - For \(b\): The lowest power of \(b\) common to all terms is \(b\).
   - For \(c\): The term \(12a^2b\) does not have a \(c\), so \(c\) is not a common factor.

Thus, the greatest common factor (GCF) is:

\[
6ab
\]

If you have any questions or want more details, feel free to ask!

### Related Questions:
1. How do you find the greatest common factor of multiple terms?
2. What happens when the powers of variables are different?
3. How do you factorize algebraic terms with more than three variables?
4. What if none of the terms share a variable or coefficient—what is the GCF then?
5. Can you use prime factorization for larger coefficients?

**Tip**: Always break down the terms into prime factors and variables to find the greatest common factor efficiently!

Find the common factors of the given terms: 6abc, 24ab^2, 12a^2b

Learn how to find the common factors of algebraic terms such as 6abc, 24ab^2, and 12a^2b. This problem involves factorization and finding the greatest common factor (GCF), suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation