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What is the GCF of 4500 and 7875?

The GCF of 4500 and 7875 is 1125.

Steps to find GCF

  1. Find the prime factorization of 4500
    4500 = 2 × 2 × 3 × 3 × 5 × 5 × 5
  2. Find the prime factorization of 7875
    7875 = 3 × 3 × 5 × 5 × 5 × 7
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Therefore, GCF = 3 × 3 × 5 × 5 × 5
  4. GCF = 1125

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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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