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What is the GCF of 300 and 1200?

The GCF of 300 and 1200 is 300.

Steps to find GCF

  1. Find the prime factorization of 300
    300 = 2 × 2 × 3 × 5 × 5
  2. Find the prime factorization of 1200
    1200 = 2 × 2 × 2 × 2 × 3 × 5 × 5
  3. To find the GCF, multiply all the prime factors common to both numbers:

    Therefore, GCF = 2 × 2 × 3 × 5 × 5
  4. GCF = 300

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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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