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What is the GCF of 567 and 1809?

The GCF of 567 and 1809 is 27.

Steps to find GCF

  1. Find the prime factorization of 567
    567 = 3 × 3 × 3 × 3 × 7
  2. Find the prime factorization of 1809
    1809 = 3 × 3 × 3 × 67
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Therefore, GCF = 3 × 3 × 3
  4. GCF = 27

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The greatest common factor (GCF) is also known as greatest common divisor (GCD) or highest common factor (HCF).

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