What is the greatest common factor of 4k, 18k4, and 12?

Answer: 2

Finding the Greatest Common Factor

The greatest common factor (GCF) of 4k, 18k4, and 12 is 2. The GCF is the largest factor that divides each term without leaving a remainder. It is calculated by finding the factors of each term and identifying the highest factor that appears in all of them. Understanding how to find the GCF is important in simplifying algebraic expressions and solving equations. This skill is used in various mathematical and real-world applications, such as in problem-solving, engineering, and economics, where simplification and optimization are key.

FAQ on Algebra and Factorization

What is the GCF of 10, 15, and 25?

5

What is the GCF of 24, 36, and 48?

12

What is the GCF of 14, 28, and 42?

14

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