Greatest common factors (GCF)

Greatest common factors (GCF)

Greatest Common Factor (GCF) is the biggest number which can divide two or more numbers. We can find the GCF by applying prime factorization to the numbers in questions. Another very similar concept that also requires prime factorization is called the least common multiple (LCM). In this lesson, we are going to use the "cake method" to solve the questions.
Basic Concepts: Determining Common Factors, Using exponents to describe numbers, Prime factorization
Related Concepts: Product rule of exponents, Common factors of polynomials, Factor by taking out the greatest common factor

Lessons

Greatest Common Factors (GCF): The largest number that divides each of the given numbers.

  • Introduction
    a)
    How to find the greatest common factor (GCF)?

  • 1.
    Find the greatest common factor (GCF)
    a)
    48, 168

    b)
    28, 42, 64

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1.
Number System and Radicals
1.1
Understanding the number systems
1.2
Prime factorisation
1.3
Greatest Common Factors (GCF)
1.4
Least Common Multiple (LCM)
1.5
Rational vs. Irrational numbers
1.6
Converting repeating decimals to fractions
AU Year 10 Maths
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