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Highest common factor using prime factorisation worksheet (with solutions)

Highest common factor using prime factorisation worksheet (with solutions)

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

4 August 2026

pdf, 69.73 KB
pdf, 69.73 KB

A worksheet on finding the prime factorisation of numbers using repeated division by their prime factors and using the prime factorisation of two numbers to obtain their highest common factor. Detailed solutions are included.

Get this resource as part of a bundle and save up to 58%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

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8th Grade Math Review Bundle | GCF LCM Percentages Sequences Worksheets

Six worksheets for Year 8 students on the following topics: * Factors, multiples, HCF and LCM. * Prime factors of an integer using division. * Highest common factor using prime factorisation. * Lowest common multiple using prime factorisation. * Percentages. * The nth term of a sequence. Detailed solutions are included. Master secondary maths essentials with this comprehensive, no-prep worksheet bundle designed for KS3 and Year 8/9 revision. This resource targets Highest Common Factor (HCF), Lowest Common Multiple (LCM), multi-step percentage change, and finding the nth term of linear sequences. ________________________________________ Looking for a rigorous, ready-to-print maths review pack that breaks down complex topics step-by-step? This comprehensive maths worksheet bundle is specifically designed to reinforce foundational number sense and algebra skills for Key Stage 3 students. Whether you are preparing for end-of-term assessments, looking for high-quality homework tasks, or need reliable cover work, this pack has you covered. **What Topics Are Covered?** • **Factors & Multiples**: Listing factors, finding common factors, and identifying multiples from a specified list. • **HCF & LCM:** Finding the highest common factor and lowest common multiple using both traditional listing and advanced prime factorisation layouts. • **Prime Factorisation**: Writing large integers as a product of their prime factors using structured division ladder methods. • **Percentages Masterclass**: Expressing quantities as percentages, increasing/decreasing amounts (including £ currency), and calculating percentage changes (increase vs. decrease). • **Sequences & Algebra**: Working out the first terms or the 100th term of linear sequences given the nth term formula, plus generating arithmetic sequences from a first term (a) and common difference (d). **What Is Included in This Download?** • Student Worksheet PDFs: Clean, minimalist layouts that provide plenty of workspace for pupils to show their workings. • Complete Answer Keys: Fully worked-out step-by-step solutions showing the exact calculations—perfect for quick teacher marking or student self-assessment. • Real-World Word Problems: Contextual application tasks (such as grouping company employees or tracking recurring lesson schedules) to build mathematical reasoning. **Curriculum Alignment** • UK National Curriculum: Seamlessly covers Key Stage 3 (KS3) and Year 8/9 criteria for number sense, prime factor decomposition, percentage change calculations, and linear sequence rules. ________________________________________

£3.85
Bundle

Prime Numbers-Prime Factorisation Bundle

A collection of three worksheets on the following topics: * Identifying prime numbers. The exercises require to find the factors of given numbers, identify the numbers that are prime and make general conclusions about prime numbers. * Prime numbers and prime factorisation. The exercises require to decide whether dome given numbers are prime or not and reach some conclusions, find the factors of a number given its prime factoristaion and find the common factors of two numbers given their prime factorisations. * Finding the prime factorisation of numbers using repeated division by their prime factors and using the prime factorisation of two numbers to obtain their highest common factor. Detailed solutions are included.

£2.90
Bundle

Prime factorisation, HCF and LCM worksheets (with solutions)

Three worksheets on finding the prime factorisation of numbers using repeated division by their prime factors and using the prime factorisation of two numbers to obtain their highest common factor and their lowest common multiple. Detailed solutions are included

£2.60

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