Quick Worksheet: Factors and Highest Common Factors (HCF)

This resource is a two-page PDF worksheet designed to help students understand and practice finding factors and the Highest Common Factor (HCF).

Content Overview:
The worksheet is structured into several sections:

Understanding Factors: Provides a clear definition of a factor, an example using the number 10, and a practice section where students list all factors for various numbers (12, 18, 24, 31, 45, 17, 100, 4, 49) (p. 1).

What is the Highest Common Factor (HCF)?: Defines HCF as the largest number that divides into two or more numbers exactly (p. 1).

How to find the HCF: Outlines a simple three-step method for finding the HCF: list all factors, circle common factors, and identify the largest one (p. 1). An example is provided for finding the HCF of 12 and 18 (HCF = 6) (p. 1).

Finding the HCF (Practice): This section includes a table for students to practice finding the HCF for pairs of numbers (8 and 20; 15 and 25; 21 and 35; 12 and 36), with space provided to show their work (p. 2).

HCF of Three Numbers: Challenges students to extend their skills by finding the

HCF for sets of three numbers (10, 20, and 30; 16, 24, and 40) (p. 2).

This resource is suitable for students learning foundational arithmetic and number theory concepts.