Free Printable WorksheetMathGrade 6Math Curriculum6.35

6.35 Find the Greatest Common Factor and the Least Common Multiple Worksheet

Download our free printable Grade 6 Math worksheet on 6.35 Find the Greatest Common Factor and the Least Common Multiple. Ideal for classroom practice, homeschool learning, independent homework, and standardized test preparation. Available in both print-ready PDF and editable DOCX formats.

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Grade 6 Math worksheet provides structured practice on 6.35 Find the Greatest Common Factor and the Least Common Multiple. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

Which answer choice correctly identifies the greatest common factor or least common multiple for the given numbers? (CCSS 6.NS.B.4; CA 6.NS.B.4; MA 6.NS.B.4; NY NY-6.NS.4; TX 19 TAC §111.26(b)(7)(A); FL MA.6.NSO.3.1; VA 6.NS.3a)

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Grade 6

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related 6.35 Find the Greatest Common Factor and the Least Common Multiple skill assessments:

Problem 1Difficulty: Mastery

Which number is the GCF of 1001 and 1430?

A11

B77

C1001

D143

Solution & Explanation:Find the GCF of 1001, 1430. Prime factors of 1001: 7×11×13. Prime factors of 1430: 2×5×11×13. The greatest number that divides all of them is 143.

Problem 2Difficulty: Mastery

Which number is the LCM of 96 and 108?

A432

B1728

C864

D216

Solution & Explanation:Find the LCM of 96, 108. Prime factors of 96: 2×2×2×2×2×3. Prime factors of 108: 2×2×3×3×3. Use each prime factor the greatest number of times it appears; that gives LCM = 864.

Problem 3Difficulty: Mastery

Which number is the GCF of 945 and 1260?

A105

B315

C630

D945

Solution & Explanation:Find the GCF of 945, 1260. Prime factors of 945: 3×3×3×5×7. Prime factors of 1260: 2×2×3×3×5×7. The greatest number that divides all of them is 315.

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Frequently Asked Questions

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QIs this 6.35 Find the Greatest Common Factor and the Least Common Multiple worksheet free for teachers and homeschoolers?

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Grade 6 Math students. It aligns with educational standard 6.35 (Find the Greatest Common Factor and the Least Common Multiple).