Circle Method

Worksheet Description

The worksheet is a learning activity focused on finding the Greatest Common Factor (GCF) of pairs of numbers through prime factorization. Each problem presents two numbers with their prime factors listed out, and students are instructed to circle the common prime factors and then write down the GCF for each pair. For example, in the first problem, the numbers 18 and 12 are broken down into their prime factors, the common factors are circled, and students must calculate the GCF based on these common factors. The worksheet provides a clear visual representation of the process of identifying the GCF through prime factorization.

The worksheet is teaching students how to use prime factorization to find the Greatest Common Factor of two numbers. By circling the common prime factors and multiplying them, students practice determining the highest number that divides both numbers without a remainder. This method of finding the GCF is a fundamental mathematical skill that is useful for simplifying fractions, determining the simplest form of ratios, and solving problems involving divisibility. The activity reinforces students’ understanding of prime numbers and their role in the structure of all integers, enhancing their number sense and problem-solving skills.