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What is the GCF of 7200 and 6075?

The GCF of 7200 and 6075 is 225.

Steps to find GCF

  1. Find the prime factorization of 7200
    7200 = 2 × 2 × 2 × 2 × 2 × 3 × 3 × 5 × 5
  2. Find the prime factorization of 6075
    6075 = 3 × 3 × 3 × 3 × 3 × 5 × 5
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Therefore, GCF = 3 × 3 × 5 × 5
  4. GCF = 225

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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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