Printable Factors and Multiples Worksheet | Grade 6 Math

Strengthen your students' number sense with this comprehensive worksheet focused on factors and multiples. Designed for sixth-grade math, this resource provides extensive practice, moving from basic concepts to complex problem-solving involving Greatest Common Factor (GCF) and Least Common Multiple (LCM). Students will gain confidence and fluency through a structured set of 29 engaging problems.

At a Glance

• Grade: 6 · Subject: Math
• Standard: CCSS.MATH.CONTENT.6.NS.B.4 — Find the GCF and LCM of whole numbers.
• Skill Focus: Factors and Multiples, GCF, LCM
• Format: 4 pages · 29 problems · Answer key included · PDF
• Best For: Independent practice, topic review, or homework
• Time: 30–45 minutes

A Clear Path to Mastery

This worksheet follows a gradual release model:

• Guided Practice: The first page reviews factors and multiples with 9 problems to build a strong foundation.
• Supported Practice: The next two pages introduce finding the GCF and LCM through 16 structured problems that scaffold the process.
• Independent Practice: The final page challenges students to apply their knowledge independently to four multi-step word problems.

This "I Do, We Do, You Do" structure ensures students develop both conceptual understanding and procedural fluency.

Standards-Aligned for Your Classroom

This worksheet is directly aligned with Common Core standard CCSS.MATH.CONTENT.6.NS.B.4, which requires students to find the greatest common factor and least common multiple. The tasks provide focused practice on this key sixth-grade skill and support foundational concepts from CCSS.MATH.CONTENT.4.OA.B.4. Both standard codes can be copied directly into lesson plans or curriculum mapping tools.

Flexible for Any Lesson Plan

Use this resource for independent practice after your direct instruction on GCF and LCM. It also works as a homework assignment or a review activity. As a formative assessment, note which students correctly identify the right strategy (GCF or LCM) for the word problems. Most students will complete the worksheet in 30 to 45 minutes.

Designed for the Middle Grades

This worksheet is ideal for 6th-grade students but can also be used for advanced 5th graders or as a review for 7th-grade students. The clean layout is accessible for all learners. Pair this worksheet with a visual anchor chart showing methods for finding GCF and LCM to support students.

Foundational number theory skills, such as those covered in CCSS.MATH.CONTENT.6.NS.B.4, are critical for success in higher-level mathematics like algebra. This worksheet provides targeted practice on finding factors, multiples, GCF, and LCM, which directly supports procedural fluency. Research consistently shows that procedural fluency and conceptual understanding are intertwined and mutually beneficial for student learning. A study referenced in the RAND AIRS 2024 report highlights that structured practice with opportunities to apply skills in varied contexts, like the word problems included here, reinforces both aspects of mathematical proficiency. By moving from simple identification to application, this resource helps students build the robust understanding of the number system needed for future challenges. Mastering the ability to find the least common multiple and greatest common factor is not just about calculation; it’s about understanding the relationships between numbers, a cornerstone of mathematical thinking.