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What is the GCF of 1764 and 2205?

The gcf of 1764 and 2205 is 441.

Steps to find GCF

  1. Find the prime factorization of 1764
    1764 = 2 × 2 × 3 × 3 × 7 × 7
  2. Find the prime factorization of 2205
    2205 = 3 × 3 × 5 × 7 × 7
  3. To find the gcf, multiply all the prime factors common to both numbers:

    Therefore, GCF = 3 × 3 × 7 × 7
  4. GCF = 441

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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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