Grade 6 Mixed GCF and LCM Problems - Mathematics Factoring Worksheet

Oct 12, 2026

This Grade 6 mathematics worksheet provides a structured set of exercises focused on calculating the Greatest Common Factor (GCF) and the Least Common Multiple (LCM) for pairs and triples of numbers. The document is designed as a learning assessment tool, featuring twelve distinct problems that range from basic two-number sets to more complex three-number sets. Each problem requires students to apply foundational arithmetic and number theory skills, including prime factorization or listing multiples and factors. To facilitate self-assessment and educational support, the worksheet includes a comprehensive answer key at the end, allowing students or instructors to verify calculations and understand the relationships between factors and multiples. The material is ideal for strengthening student proficiency in number operations, logical reasoning, and mathematical accuracy in middle school curricula.

LanguageEnglish

CategoryExam

FormatPDF

Pages2

Reading Time5 min

AccessFree to download

Mixed GCF and LCM Problems

Problem Set

Answer Key

FAQs

What does GCF stand for in this worksheet?

GCF stands for the Greatest Common Factor, which is the largest positive integer that divides each of the numbers in a given set without leaving a remainder.

What is the purpose of this worksheet?

The worksheet is intended to help Grade 6 students practice and assess their ability to identify the Greatest Common Factor and Least Common Multiple for various sets of numbers.

Are the answers provided for the exercises?

Yes, the document includes a dedicated section with the complete answers for all twelve problems, providing the correct GCF and LCM for both two-number and three-number sets.

Oct 12, 2026

Uploaded by Chumphorn