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What is the GCF of 1029 and 2744?

The GCF of 1029 and 2744 is 343.

Steps to find GCF

  1. Find the prime factorization of 1029
    1029 = 3 × 7 × 7 × 7
  2. Find the prime factorization of 2744
    2744 = 2 × 2 × 2 × 7 × 7 × 7
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Therefore, GCF = 7 × 7 × 7
  4. GCF = 343

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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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