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Greatest Common Factor

The content provides an in-depth exploration of the concept of the greatest common factor (GCF), detailing methods to calculate it for pairs of integers, with a focus on using prime factorization for larger numbers.
  • GCF, also known as the greatest common divisor, is a fundamental mathematical concept used to identify the largest factor common to two integers.
  • The traditional method of listing all factors to find the GCF is impractical for large numbers, necessitating the use of prime factorization.
  • Prime factorization involves breaking down each number into its prime factors and identifying the highest power of common primes to calculate the GCF.
  • Examples provided illustrate how to apply prime factorization to find the GCF of large numbers efficiently.
  • The significance of finding the GCF extends beyond the calculation itself, as it is pivotal in determining the least common multiple (LCM), which is discussed in subsequent content.
Introduction to Greatest Common Factor
Calculating GCF with Prime Factorization
Practical Application of GCF
Significance of GCF in Finding LCM